fix: bind noexcept and ref-qualified methods from unregistered base classes (#5992)

* Strip noexcept from cpp17 function type bindings

* Fix a bug and increase test coverage

* Does this fix it?

* Silence clang-tidy issue

* Simplify method adapter with macro and add missing rvalue adaptors + tests

* Supress clang-tidy errors

* Improve test coverage

* Add additional static assert

* Try to resolve MSVC C4003 warning

* Simplify method adaptor into 2 template instatiations with enable_if_t

* Fix ambiguous STL template

* Close remaining qualifier consistency gaps for member pointer bindings.

A production-code review after #2234 showed that ref-qualified member pointers were still inconsistently handled across def_buffer, vectorize, and overload_cast, so this adds the missing overloads with focused tests for each newly-supported signature.

Co-authored-by: Cursor <cursoragent@cursor.com>

* Clarify why def_buffer/vectorize omit rvalue-qualified overloads.

These comments were added while reviewing the qualifier coverage follow-up, to document that buffer/vectorized calls operate on existing Python-owned instances and should not move-from self.

Co-authored-by: Cursor <cursoragent@cursor.com>

* Add compile-only overload_cast guard for ref-qualified methods.

This was added as a maintenance follow-up to the qualifier-consistency work, so future changes that introduce overload_cast ambiguity or wrong ref/noexcept resolution fail at compile time.

Co-authored-by: Cursor <cursoragent@cursor.com>

* Refactor overload_cast_impl qualifier overloads with a macro.

As part of the qualifier-consistency maintenance follow-up, this reduces duplication in overload_cast_impl while preserving the same ref/noexcept coverage and keeping pedantic-clean macro expansion.

Co-authored-by: Cursor <cursoragent@cursor.com>

* Expose __cpp_noexcept_function_type to Python tests and use explicit skip guards.

This replaces hasattr-based optional assertions with skipif-gated noexcept-only tests so skipped coverage is visible in pytest output while keeping non-noexcept checks always active.

Co-authored-by: Cursor <cursoragent@cursor.com>

* Add static_assert in method_adaptor to guard that T is a member function pointer.

Suggested by @Skylion007 in PR #5992 review comment [T007].

Made-with: Cursor

* automatic clang-format change (because of #6002)

---------

Co-authored-by: Ralf W. Grosse-Kunstleve <rgrossekunst@nvidia.com>
Co-authored-by: Cursor <cursoragent@cursor.com>
diff --git a/include/pybind11/detail/common.h b/include/pybind11/detail/common.h
index 5576ad1..ebffe57 100644
--- a/include/pybind11/detail/common.h
+++ b/include/pybind11/detail/common.h
@@ -1065,14 +1065,30 @@
     using type = typename remove_class<decltype(&F::operator())>::type;
 };
 
+// Strip noexcept from a free function type (C++17: noexcept is part of the type).
+template <typename T>
+struct remove_noexcept {
+    using type = T;
+};
+#ifdef __cpp_noexcept_function_type
+template <typename R, typename... A>
+struct remove_noexcept<R(A...) noexcept> {
+    using type = R(A...);
+};
+#endif
+template <typename T>
+using remove_noexcept_t = typename remove_noexcept<T>::type;
+
 // Extracts the function signature from a function, function pointer or lambda.
+// Strips noexcept from the result so that factory/pickle_factory partial specializations
+// (which match plain Return(Args...)) work correctly with noexcept callables (issue #2234).
 template <typename Function, typename F = remove_reference_t<Function>>
-using function_signature_t = conditional_t<
+using function_signature_t = remove_noexcept_t<conditional_t<
     std::is_function<F>::value,
     F,
     typename conditional_t<std::is_pointer<F>::value || std::is_member_pointer<F>::value,
                            std::remove_pointer<F>,
-                           strip_function_object<F>>::type>;
+                           strip_function_object<F>>::type>>;
 
 /// Returns true if the type looks like a lambda: that is, isn't a function, pointer or member
 /// pointer.  Note that this can catch all sorts of other things, too; this is intended to be used
@@ -1221,6 +1237,36 @@
         -> decltype(pmf) {
         return pmf;
     }
+
+    // Define const/non-const member-pointer selector pairs for qualifier combinations.
+    // The `qualifiers` parameter is used in type position, where extra parentheses are invalid.
+    // NOLINTBEGIN(bugprone-macro-parentheses)
+#define PYBIND11_OVERLOAD_CAST_MEMBER_PTR(qualifiers)                                             \
+    template <typename Return, typename Class>                                                    \
+    constexpr auto operator()(Return (Class::*pmf)(Args...) qualifiers, std::false_type = {})     \
+        const noexcept -> decltype(pmf) {                                                         \
+        return pmf;                                                                               \
+    }                                                                                             \
+    template <typename Return, typename Class>                                                    \
+    constexpr auto operator()(Return (Class::*pmf)(Args...) const qualifiers, std::true_type)     \
+        const noexcept -> decltype(pmf) {                                                         \
+        return pmf;                                                                               \
+    }
+    PYBIND11_OVERLOAD_CAST_MEMBER_PTR(&)
+    PYBIND11_OVERLOAD_CAST_MEMBER_PTR(&&)
+
+#ifdef __cpp_noexcept_function_type
+    template <typename Return>
+    constexpr auto operator()(Return (*pf)(Args...) noexcept) const noexcept -> decltype(pf) {
+        return pf;
+    }
+
+    PYBIND11_OVERLOAD_CAST_MEMBER_PTR(noexcept)
+    PYBIND11_OVERLOAD_CAST_MEMBER_PTR(& noexcept)
+    PYBIND11_OVERLOAD_CAST_MEMBER_PTR(&& noexcept)
+#endif
+#undef PYBIND11_OVERLOAD_CAST_MEMBER_PTR
+    // NOLINTEND(bugprone-macro-parentheses)
 };
 PYBIND11_NAMESPACE_END(detail)
 
diff --git a/include/pybind11/numpy.h b/include/pybind11/numpy.h
index 408d169..10c0c94 100644
--- a/include/pybind11/numpy.h
+++ b/include/pybind11/numpy.h
@@ -2327,4 +2327,86 @@
     return Helper(std::mem_fn(f));
 }
 
+// Intentionally no &&/const&& overloads: vectorized method calls operate on the bound Python
+// instance and should not consume/move-from self.
+// Vectorize a class method (non-const, lvalue ref-qualified):
+template <typename Return,
+          typename Class,
+          typename... Args,
+          typename Helper = detail::vectorize_helper<
+              decltype(std::mem_fn(std::declval<Return (Class::*)(Args...) &>())),
+              Return,
+              Class *,
+              Args...>>
+Helper vectorize(Return (Class::*f)(Args...) &) {
+    return Helper(std::mem_fn(f));
+}
+
+// Vectorize a class method (const, lvalue ref-qualified):
+template <typename Return,
+          typename Class,
+          typename... Args,
+          typename Helper = detail::vectorize_helper<
+              decltype(std::mem_fn(std::declval<Return (Class::*)(Args...) const &>())),
+              Return,
+              const Class *,
+              Args...>>
+Helper vectorize(Return (Class::*f)(Args...) const &) {
+    return Helper(std::mem_fn(f));
+}
+
+#ifdef __cpp_noexcept_function_type
+// Vectorize a class method (non-const, noexcept):
+template <typename Return,
+          typename Class,
+          typename... Args,
+          typename Helper = detail::vectorize_helper<
+              decltype(std::mem_fn(std::declval<Return (Class::*)(Args...) noexcept>())),
+              Return,
+              Class *,
+              Args...>>
+Helper vectorize(Return (Class::*f)(Args...) noexcept) {
+    return Helper(std::mem_fn(f));
+}
+
+// Vectorize a class method (const, noexcept):
+template <typename Return,
+          typename Class,
+          typename... Args,
+          typename Helper = detail::vectorize_helper<
+              decltype(std::mem_fn(std::declval<Return (Class::*)(Args...) const noexcept>())),
+              Return,
+              const Class *,
+              Args...>>
+Helper vectorize(Return (Class::*f)(Args...) const noexcept) {
+    return Helper(std::mem_fn(f));
+}
+
+// Vectorize a class method (non-const, lvalue ref-qualified, noexcept):
+template <typename Return,
+          typename Class,
+          typename... Args,
+          typename Helper = detail::vectorize_helper<
+              decltype(std::mem_fn(std::declval<Return (Class::*)(Args...) & noexcept>())),
+              Return,
+              Class *,
+              Args...>>
+Helper vectorize(Return (Class::*f)(Args...) & noexcept) {
+    return Helper(std::mem_fn(f));
+}
+
+// Vectorize a class method (const, lvalue ref-qualified, noexcept):
+template <typename Return,
+          typename Class,
+          typename... Args,
+          typename Helper = detail::vectorize_helper<
+              decltype(std::mem_fn(std::declval<Return (Class::*)(Args...) const & noexcept>())),
+              Return,
+              const Class *,
+              Args...>>
+Helper vectorize(Return (Class::*f)(Args...) const & noexcept) {
+    return Helper(std::mem_fn(f));
+}
+#endif
+
 PYBIND11_NAMESPACE_END(PYBIND11_NAMESPACE)
diff --git a/include/pybind11/pybind11.h b/include/pybind11/pybind11.h
index 454638e..6c269ad 100644
--- a/include/pybind11/pybind11.h
+++ b/include/pybind11/pybind11.h
@@ -370,6 +370,96 @@
                    extra...);
     }
 
+    /// Construct a cpp_function from a class method (non-const, rvalue ref-qualifier)
+    template <typename Return, typename Class, typename... Arg, typename... Extra>
+    // NOLINTNEXTLINE(google-explicit-constructor)
+    cpp_function(Return (Class::*f)(Arg...) &&, const Extra &...extra) {
+        initialize(
+            [f](Class *c, Arg... args) -> Return {
+                return (std::move(*c).*f)(std::forward<Arg>(args)...);
+            },
+            (Return (*)(Class *, Arg...)) nullptr,
+            extra...);
+    }
+
+    /// Construct a cpp_function from a class method (const, rvalue ref-qualifier)
+    template <typename Return, typename Class, typename... Arg, typename... Extra>
+    // NOLINTNEXTLINE(google-explicit-constructor)
+    cpp_function(Return (Class::*f)(Arg...) const &&, const Extra &...extra) {
+        initialize(
+            [f](const Class *c, Arg... args) -> Return {
+                return (std::move(*c).*f)(std::forward<Arg>(args)...);
+            },
+            (Return (*)(const Class *, Arg...)) nullptr,
+            extra...);
+    }
+
+#ifdef __cpp_noexcept_function_type
+    /// Construct a cpp_function from a class method (non-const, no ref-qualifier, noexcept)
+    template <typename Return, typename Class, typename... Arg, typename... Extra>
+    // NOLINTNEXTLINE(google-explicit-constructor)
+    cpp_function(Return (Class::*f)(Arg...) noexcept, const Extra &...extra) {
+        initialize(
+            [f](Class *c, Arg... args) -> Return { return (c->*f)(std::forward<Arg>(args)...); },
+            (Return (*)(Class *, Arg...)) nullptr,
+            extra...);
+    }
+
+    /// Construct a cpp_function from a class method (non-const, lvalue ref-qualifier, noexcept)
+    template <typename Return, typename Class, typename... Arg, typename... Extra>
+    // NOLINTNEXTLINE(google-explicit-constructor)
+    cpp_function(Return (Class::*f)(Arg...) & noexcept, const Extra &...extra) {
+        initialize(
+            [f](Class *c, Arg... args) -> Return { return (c->*f)(std::forward<Arg>(args)...); },
+            (Return (*)(Class *, Arg...)) nullptr,
+            extra...);
+    }
+
+    /// Construct a cpp_function from a class method (const, no ref-qualifier, noexcept)
+    template <typename Return, typename Class, typename... Arg, typename... Extra>
+    // NOLINTNEXTLINE(google-explicit-constructor)
+    cpp_function(Return (Class::*f)(Arg...) const noexcept, const Extra &...extra) {
+        initialize([f](const Class *c,
+                       Arg... args) -> Return { return (c->*f)(std::forward<Arg>(args)...); },
+                   (Return (*)(const Class *, Arg...)) nullptr,
+                   extra...);
+    }
+
+    /// Construct a cpp_function from a class method (const, lvalue ref-qualifier, noexcept)
+    template <typename Return, typename Class, typename... Arg, typename... Extra>
+    // NOLINTNEXTLINE(google-explicit-constructor)
+    cpp_function(Return (Class::*f)(Arg...) const & noexcept, const Extra &...extra) {
+        initialize([f](const Class *c,
+                       Arg... args) -> Return { return (c->*f)(std::forward<Arg>(args)...); },
+                   (Return (*)(const Class *, Arg...)) nullptr,
+                   extra...);
+    }
+
+    /// Construct a cpp_function from a class method (non-const, rvalue ref-qualifier, noexcept)
+    template <typename Return, typename Class, typename... Arg, typename... Extra>
+    // NOLINTNEXTLINE(google-explicit-constructor)
+    cpp_function(Return (Class::*f)(Arg...) && noexcept, const Extra &...extra) {
+        initialize(
+            [f](Class *c, Arg... args) -> Return {
+                return (std::move(*c).*f)(std::forward<Arg>(args)...);
+            },
+            (Return (*)(Class *, Arg...)) nullptr,
+            extra...);
+    }
+
+    /// Construct a cpp_function from a class method (const, rvalue ref-qualifier, noexcept)
+    template <typename Return, typename Class, typename... Arg, typename... Extra>
+    // NOLINTNEXTLINE(google-explicit-constructor)
+    cpp_function(Return (Class::*f)(Arg...) const && noexcept, const Extra &...extra) {
+        initialize(
+            [f](const Class *c, Arg... args) -> Return {
+                return (std::move(*c).*f)(std::forward<Arg>(args)...);
+            },
+            (Return (*)(const Class *, Arg...)) nullptr,
+            extra...);
+    }
+#endif
+
     /// Return the function name
     object name() const { return attr("__name__"); }
 
@@ -1895,29 +1985,89 @@
     }
 }
 
+/// Type trait to rebind a member function pointer's class to `Derived`, preserving all
+/// cv/ref/noexcept qualifiers. The primary template has no `type` member, providing SFINAE
+/// failure for unsupported member function pointer types. `source_class` holds the original
+/// class for use in `is_accessible_base_of` checks.
+template <typename Derived, typename T>
+struct rebind_member_ptr {};
+
+// Define one specialization per supported qualifier combination via a local macro.
+// The qualifiers argument appears in type position, not expression position, so
+// parenthesizing it would produce invalid C++.
+// The no-qualifier specialization is written out explicitly to avoid invoking the macro with an
+// empty argument, which triggers MSVC warning C4003.
+template <typename Derived, typename Return, typename Class, typename... Args>
+struct rebind_member_ptr<Derived, Return (Class::*)(Args...)> {
+    using type = Return (Derived::*)(Args...);
+    using source_class = Class;
+};
+// NOLINTBEGIN(bugprone-macro-parentheses)
+#define PYBIND11_REBIND_MEMBER_PTR(qualifiers)                                                    \
+    template <typename Derived, typename Return, typename Class, typename... Args>                \
+    struct rebind_member_ptr<Derived, Return (Class::*)(Args...) qualifiers> {                    \
+        using type = Return (Derived::*)(Args...) qualifiers;                                     \
+        using source_class = Class;                                                               \
+    }
+PYBIND11_REBIND_MEMBER_PTR(const);
+PYBIND11_REBIND_MEMBER_PTR(&);
+PYBIND11_REBIND_MEMBER_PTR(const &);
+PYBIND11_REBIND_MEMBER_PTR(&&);
+PYBIND11_REBIND_MEMBER_PTR(const &&);
+#ifdef __cpp_noexcept_function_type
+PYBIND11_REBIND_MEMBER_PTR(noexcept);
+PYBIND11_REBIND_MEMBER_PTR(const noexcept);
+PYBIND11_REBIND_MEMBER_PTR(& noexcept);
+PYBIND11_REBIND_MEMBER_PTR(const & noexcept);
+PYBIND11_REBIND_MEMBER_PTR(&& noexcept);
+PYBIND11_REBIND_MEMBER_PTR(const && noexcept);
+#endif
+#undef PYBIND11_REBIND_MEMBER_PTR
+// NOLINTEND(bugprone-macro-parentheses)
+
+/// Shared implementation body for all method_adaptor member-function-pointer overloads.
+/// Asserts Base is accessible from Derived, then casts the member pointer.
+template <typename Derived,
+          typename T,
+          typename Traits = rebind_member_ptr<Derived, T>,
+          typename Adapted = typename Traits::type>
+constexpr PYBIND11_ALWAYS_INLINE Adapted adapt_member_ptr(T pmf) {
+    static_assert(
+        detail::is_accessible_base_of<typename Traits::source_class, Derived>::value,
+        "Cannot bind an inaccessible base class method; use a lambda definition instead");
+    return pmf;
+}
+
 PYBIND11_NAMESPACE_END(detail)
 
 /// Given a pointer to a member function, cast it to its `Derived` version.
-/// Forward everything else unchanged.
-template <typename /*Derived*/, typename F>
-auto method_adaptor(F &&f) -> decltype(std::forward<F>(f)) {
+/// For all other callables (lambdas, function pointers, etc.), forward unchanged.
+///
+/// Two overloads cover all cases without explicit per-qualifier instantiations:
+///
+///  (1) Generic fallback — disabled for member function pointers so that (2) wins
+///      without any partial-ordering ambiguity.
+///  (2) MFP overload — SFINAE on rebind_member_ptr::type, which exists for every
+///      supported qualifier combination (const, &, &&, noexcept, ...).  A single
+///      template therefore covers all combinations that rebind_member_ptr handles.
+template <
+    typename /*Derived*/,
+    typename F,
+    detail::enable_if_t<!std::is_member_function_pointer<detail::remove_reference_t<F>>::value,
+                        int> = 0>
+constexpr auto method_adaptor(F &&f) -> decltype(std::forward<F>(f)) {
     return std::forward<F>(f);
 }
 
-template <typename Derived, typename Return, typename Class, typename... Args>
-auto method_adaptor(Return (Class::*pmf)(Args...)) -> Return (Derived::*)(Args...) {
-    static_assert(
-        detail::is_accessible_base_of<Class, Derived>::value,
-        "Cannot bind an inaccessible base class method; use a lambda definition instead");
-    return pmf;
-}
-
-template <typename Derived, typename Return, typename Class, typename... Args>
-auto method_adaptor(Return (Class::*pmf)(Args...) const) -> Return (Derived::*)(Args...) const {
-    static_assert(
-        detail::is_accessible_base_of<Class, Derived>::value,
-        "Cannot bind an inaccessible base class method; use a lambda definition instead");
-    return pmf;
+template <typename Derived,
+          typename T,
+          typename Adapted = typename detail::rebind_member_ptr<Derived, T>::type>
+constexpr Adapted method_adaptor(T pmf) {
+    // Expected to be redundant (SFINAE on rebind_member_ptr) but cheap and makes the intent
+    // explicit.
+    static_assert(std::is_member_function_pointer<T>::value,
+                  "method_adaptor: T must be a member function pointer");
+    return detail::adapt_member_ptr<Derived>(pmf);
 }
 
 PYBIND11_NAMESPACE_BEGIN(detail)
@@ -2376,6 +2526,40 @@
         return def_buffer([func](const type &obj) { return (obj.*func)(); });
     }
 
+    // Intentionally no &&/const&& overloads: buffer protocol callbacks are invoked on an
+    // existing Python object and should not move-from self.
+    template <typename Return, typename Class, typename... Args>
+    class_ &def_buffer(Return (Class::*func)(Args...) &) {
+        return def_buffer([func](type &obj) { return (obj.*func)(); });
+    }
+
+    template <typename Return, typename Class, typename... Args>
+    class_ &def_buffer(Return (Class::*func)(Args...) const &) {
+        return def_buffer([func](const type &obj) { return (obj.*func)(); });
+    }
+
+#ifdef __cpp_noexcept_function_type
+    template <typename Return, typename Class, typename... Args>
+    class_ &def_buffer(Return (Class::*func)(Args...) noexcept) {
+        return def_buffer([func](type &obj) { return (obj.*func)(); });
+    }
+
+    template <typename Return, typename Class, typename... Args>
+    class_ &def_buffer(Return (Class::*func)(Args...) const noexcept) {
+        return def_buffer([func](const type &obj) { return (obj.*func)(); });
+    }
+
+    template <typename Return, typename Class, typename... Args>
+    class_ &def_buffer(Return (Class::*func)(Args...) & noexcept) {
+        return def_buffer([func](type &obj) { return (obj.*func)(); });
+    }
+
+    template <typename Return, typename Class, typename... Args>
+    class_ &def_buffer(Return (Class::*func)(Args...) const & noexcept) {
+        return def_buffer([func](const type &obj) { return (obj.*func)(); });
+    }
+#endif
+
     template <typename C, typename D, typename... Extra>
     class_ &def_readwrite(const char *name, D C::*pm, const Extra &...extra) {
         static_assert(std::is_same<C, type>::value || std::is_base_of<C, type>::value,
diff --git a/tests/pybind11_tests.cpp b/tests/pybind11_tests.cpp
index 47d9d9a..5dacd7a 100644
--- a/tests/pybind11_tests.cpp
+++ b/tests/pybind11_tests.cpp
@@ -111,6 +111,12 @@
     m.attr("detailed_error_messages_enabled") = false;
 #endif
 
+#if defined(__cpp_noexcept_function_type)
+    m.attr("defined___cpp_noexcept_function_type") = true;
+#else
+    m.attr("defined___cpp_noexcept_function_type") = false;
+#endif
+
     py::class_<UserType>(m, "UserType", "A `py::class_` type for testing")
         .def(py::init<>())
         .def(py::init<int>())
diff --git a/tests/test_buffers.cpp b/tests/test_buffers.cpp
index 525be80..5ac4553 100644
--- a/tests/test_buffers.cpp
+++ b/tests/test_buffers.cpp
@@ -439,4 +439,133 @@
         PyBuffer_Release(&buffer);
         return result;
     });
+
+    // test_noexcept_def_buffer (issue #2234)
+    // def_buffer(Return (Class::*)(Args...) noexcept) and
+    // def_buffer(Return (Class::*)(Args...) const noexcept) must compile and work correctly.
+    struct OneDBuffer {
+        // Declare m_data before m_n to match initialiser list order below.
+        float *m_data;
+        py::ssize_t m_n;
+        explicit OneDBuffer(py::ssize_t n) : m_data(new float[(size_t) n]()), m_n(n) {}
+        ~OneDBuffer() { delete[] m_data; }
+        // Exercises def_buffer(Return (Class::*)(Args...) noexcept)
+        py::buffer_info get_buffer() noexcept {
+            return py::buffer_info(m_data,
+                                   sizeof(float),
+                                   py::format_descriptor<float>::format(),
+                                   1,
+                                   {m_n},
+                                   {(py::ssize_t) sizeof(float)});
+        }
+    };
+
+    // non-const noexcept member function form
+    py::class_<OneDBuffer>(m, "OneDBuffer", py::buffer_protocol())
+        .def(py::init<py::ssize_t>())
+        .def_buffer(&OneDBuffer::get_buffer);
+
+    // const noexcept member function form (separate class to avoid ambiguity)
+    struct OneDBufferConst {
+        float *m_data;
+        py::ssize_t m_n;
+        explicit OneDBufferConst(py::ssize_t n) : m_data(new float[(size_t) n]()), m_n(n) {}
+        ~OneDBufferConst() { delete[] m_data; }
+        // Exercises def_buffer(Return (Class::*)(Args...) const noexcept)
+        py::buffer_info get_buffer() const noexcept {
+            return py::buffer_info(m_data,
+                                   sizeof(float),
+                                   py::format_descriptor<float>::format(),
+                                   1,
+                                   {m_n},
+                                   {(py::ssize_t) sizeof(float)},
+                                   /*readonly=*/true);
+        }
+    };
+    py::class_<OneDBufferConst>(m, "OneDBufferConst", py::buffer_protocol())
+        .def(py::init<py::ssize_t>())
+        .def_buffer(&OneDBufferConst::get_buffer);
+
+    // test_ref_qualified_def_buffer
+    struct OneDBufferLRef {
+        float *m_data;
+        py::ssize_t m_n;
+        explicit OneDBufferLRef(py::ssize_t n) : m_data(new float[(size_t) n]()), m_n(n) {}
+        ~OneDBufferLRef() { delete[] m_data; }
+        // Exercises def_buffer(Return (Class::*)(Args...) &)
+        py::buffer_info get_buffer() & {
+            return py::buffer_info(m_data,
+                                   sizeof(float),
+                                   py::format_descriptor<float>::format(),
+                                   1,
+                                   {m_n},
+                                   {(py::ssize_t) sizeof(float)});
+        }
+    };
+    py::class_<OneDBufferLRef>(m, "OneDBufferLRef", py::buffer_protocol())
+        .def(py::init<py::ssize_t>())
+        .def_buffer(&OneDBufferLRef::get_buffer);
+
+    struct OneDBufferConstLRef {
+        float *m_data;
+        py::ssize_t m_n;
+        explicit OneDBufferConstLRef(py::ssize_t n) : m_data(new float[(size_t) n]()), m_n(n) {}
+        ~OneDBufferConstLRef() { delete[] m_data; }
+        // Exercises def_buffer(Return (Class::*)(Args...) const &)
+        py::buffer_info get_buffer() const & {
+            return py::buffer_info(m_data,
+                                   sizeof(float),
+                                   py::format_descriptor<float>::format(),
+                                   1,
+                                   {m_n},
+                                   {(py::ssize_t) sizeof(float)},
+                                   /*readonly=*/true);
+        }
+    };
+    py::class_<OneDBufferConstLRef>(m, "OneDBufferConstLRef", py::buffer_protocol())
+        .def(py::init<py::ssize_t>())
+        .def_buffer(&OneDBufferConstLRef::get_buffer);
+
+#ifdef __cpp_noexcept_function_type
+    struct OneDBufferLRefNoexcept {
+        float *m_data;
+        py::ssize_t m_n;
+        explicit OneDBufferLRefNoexcept(py::ssize_t n) : m_data(new float[(size_t) n]()), m_n(n) {}
+        ~OneDBufferLRefNoexcept() { delete[] m_data; }
+        // Exercises def_buffer(Return (Class::*)(Args...) & noexcept)
+        py::buffer_info get_buffer() & noexcept {
+            return py::buffer_info(m_data,
+                                   sizeof(float),
+                                   py::format_descriptor<float>::format(),
+                                   1,
+                                   {m_n},
+                                   {(py::ssize_t) sizeof(float)});
+        }
+    };
+    py::class_<OneDBufferLRefNoexcept>(m, "OneDBufferLRefNoexcept", py::buffer_protocol())
+        .def(py::init<py::ssize_t>())
+        .def_buffer(&OneDBufferLRefNoexcept::get_buffer);
+
+    struct OneDBufferConstLRefNoexcept {
+        float *m_data;
+        py::ssize_t m_n;
+        explicit OneDBufferConstLRefNoexcept(py::ssize_t n)
+            : m_data(new float[(size_t) n]()), m_n(n) {}
+        ~OneDBufferConstLRefNoexcept() { delete[] m_data; }
+        // Exercises def_buffer(Return (Class::*)(Args...) const & noexcept)
+        py::buffer_info get_buffer() const & noexcept {
+            return py::buffer_info(m_data,
+                                   sizeof(float),
+                                   py::format_descriptor<float>::format(),
+                                   1,
+                                   {m_n},
+                                   {(py::ssize_t) sizeof(float)},
+                                   /*readonly=*/true);
+        }
+    };
+    py::class_<OneDBufferConstLRefNoexcept>(
+        m, "OneDBufferConstLRefNoexcept", py::buffer_protocol())
+        .def(py::init<py::ssize_t>())
+        .def_buffer(&OneDBufferConstLRefNoexcept::get_buffer);
+#endif
 }
diff --git a/tests/test_buffers.py b/tests/test_buffers.py
index f666df5..c1d5770 100644
--- a/tests/test_buffers.py
+++ b/tests/test_buffers.py
@@ -7,7 +7,7 @@
 import pytest
 
 import env
-from pybind11_tests import ConstructorStats
+from pybind11_tests import ConstructorStats, defined___cpp_noexcept_function_type
 from pybind11_tests import buffers as m
 
 np = pytest.importorskip("numpy")
@@ -399,3 +399,73 @@
         m.get_py_buffer(dmat, m.PyBUF_ANY_CONTIGUOUS)
     with pytest.raises(expected_exception):
         m.get_py_buffer(dmat, m.PyBUF_F_CONTIGUOUS)
+
+
+def test_noexcept_def_buffer():
+    """Test issue #2234: def_buffer with noexcept member function pointers.
+
+    Covers both new def_buffer specialisations:
+      - def_buffer(Return (Class::*)(Args...) noexcept)
+      - def_buffer(Return (Class::*)(Args...) const noexcept)
+    """
+    # non-const noexcept member function form
+    buf = m.OneDBuffer(5)
+    arr = np.frombuffer(buf, dtype=np.float32)
+    assert arr.shape == (5,)
+    arr[2] = 3.14
+    arr2 = np.frombuffer(buf, dtype=np.float32)
+    assert arr2[2] == pytest.approx(3.14)
+
+    # const noexcept member function form
+    cbuf = m.OneDBufferConst(4)
+    carr = np.frombuffer(cbuf, dtype=np.float32)
+    assert carr.shape == (4,)
+    assert carr.flags["WRITEABLE"] is False
+
+
+def test_ref_qualified_def_buffer():
+    """Test issue #2234 follow-up: def_buffer with ref-qualified member function pointers.
+
+    Covers:
+      - def_buffer(Return (Class::*)(Args...) &)
+      - def_buffer(Return (Class::*)(Args...) const &)
+      - def_buffer(Return (Class::*)(Args...) & noexcept)
+      - def_buffer(Return (Class::*)(Args...) const & noexcept)
+    """
+    # non-const lvalue ref-qualified member function form
+    buf = m.OneDBufferLRef(5)
+    arr = np.frombuffer(buf, dtype=np.float32)
+    assert arr.shape == (5,)
+    arr[1] = 2.5
+    arr2 = np.frombuffer(buf, dtype=np.float32)
+    assert arr2[1] == pytest.approx(2.5)
+
+    # const lvalue ref-qualified member function form
+    cbuf = m.OneDBufferConstLRef(4)
+    carr = np.frombuffer(cbuf, dtype=np.float32)
+    assert carr.shape == (4,)
+    assert carr.flags["WRITEABLE"] is False
+
+
+@pytest.mark.skipif(
+    not defined___cpp_noexcept_function_type,
+    reason="Requires __cpp_noexcept_function_type",
+)
+def test_ref_qualified_noexcept_def_buffer():
+    """Test issue #2234 follow-up: def_buffer with noexcept ref-qualified member pointers.
+
+    Covers:
+      - def_buffer(Return (Class::*)(Args...) & noexcept)
+      - def_buffer(Return (Class::*)(Args...) const & noexcept)
+    """
+    nbuf = m.OneDBufferLRefNoexcept(3)
+    narr = np.frombuffer(nbuf, dtype=np.float32)
+    assert narr.shape == (3,)
+    narr[2] = 7.0
+    narr2 = np.frombuffer(nbuf, dtype=np.float32)
+    assert narr2[2] == pytest.approx(7.0)
+
+    ncbuf = m.OneDBufferConstLRefNoexcept(2)
+    ncarr = np.frombuffer(ncbuf, dtype=np.float32)
+    assert ncarr.shape == (2,)
+    assert ncarr.flags["WRITEABLE"] is False
diff --git a/tests/test_methods_and_attributes.cpp b/tests/test_methods_and_attributes.cpp
index a72d187..f46563c 100644
--- a/tests/test_methods_and_attributes.cpp
+++ b/tests/test_methods_and_attributes.cpp
@@ -167,6 +167,123 @@
     double sum() const { return rw_value + ro_value; }
 };
 
+// Issue #2234: noexcept methods in an unregistered base should be bindable on the derived class.
+// In C++17, noexcept is part of the function type, so &Derived::method resolves to
+// a Base member function pointer with noexcept, requiring explicit template specializations.
+class NoexceptUnregisteredBase {
+public:
+    // Exercises cpp_function(Return (Class::*)(Args...) const noexcept, ...)
+    int value() const noexcept { return m_value; }
+    // Exercises cpp_function(Return (Class::*)(Args...) noexcept, ...)
+    void set_value(int v) noexcept { m_value = v; }
+    // Exercises cpp_function(Return (Class::*)(Args...) & noexcept, ...)
+    void increment() & noexcept { ++m_value; }
+    // Exercises cpp_function(Return (Class::*)(Args...) const & noexcept, ...)
+    int capped_value() const & noexcept { return m_value < 100 ? m_value : 100; }
+
+private:
+    int m_value = 99;
+};
+class NoexceptDerived : public NoexceptUnregisteredBase {
+public:
+    using NoexceptUnregisteredBase::NoexceptUnregisteredBase;
+};
+
+// Exercises cpp_function(Return (Class::*)(Args...) &&, ...) and
+// cpp_function(Return (Class::*)(Args...) const &&, ...) via an unregistered base.
+class RValueRefUnregisteredBase {
+public:
+    // Exercises cpp_function(Return (Class::*)(Args...) &&, ...).
+    // Moves m_payload to verify that std::move(*c).*f is used in the lambda body.
+    std::string take() && { // NOLINT(readability-make-member-function-const)
+        return std::move(m_payload);
+    }
+    // Exercises cpp_function(Return (Class::*)(Args...) const &&, ...)
+    int peek() const && { return m_value; }
+#ifdef __cpp_noexcept_function_type
+    // Exercises cpp_function(Return (Class::*)(Args...) && noexcept, ...)
+    std::string take_noexcept() && noexcept { // NOLINT(readability-make-member-function-const)
+        return std::move(m_payload);
+    }
+    // Exercises cpp_function(Return (Class::*)(Args...) const && noexcept, ...)
+    int peek_noexcept() const && noexcept { return m_value; }
+#endif
+
+private:
+    int m_value = 77;
+    std::string m_payload{"rref_payload"};
+};
+class RValueRefDerived : public RValueRefUnregisteredBase {
+public:
+    using RValueRefUnregisteredBase::RValueRefUnregisteredBase;
+};
+
+// Exercises overload_cast with noexcept member function pointers (issue #2234).
+// In C++17, overload_cast must have noexcept variants to resolve noexcept overloads.
+struct NoexceptOverloaded {
+    py::str method(int) noexcept { return "(int)"; }
+    py::str method(int) const noexcept { return "(int) const"; }
+    py::str method(float) noexcept { return "(float)"; }
+};
+// Exercises overload_cast with noexcept free function pointers.
+int noexcept_free_func(int x) noexcept { return x + 1; }
+int noexcept_free_func(float x) noexcept { return static_cast<int>(x) + 2; }
+
+// Exercises overload_cast with ref-qualified member function pointers.
+struct RefQualifiedOverloaded {
+    py::str method(int) & { return "(int) &"; }
+    py::str method(int) const & { return "(int) const &"; }
+    py::str method(float) && { return "(float) &&"; }
+    py::str method(float) const && { return "(float) const &&"; }
+#ifdef __cpp_noexcept_function_type
+    py::str method(long) & noexcept { return "(long) & noexcept"; }
+    py::str method(long) const & noexcept { return "(long) const & noexcept"; }
+    py::str method(double) && noexcept { return "(double) && noexcept"; }
+    py::str method(double) const && noexcept { return "(double) const && noexcept"; }
+#endif
+};
+
+// Compile-only guard: catch overload_cast resolution regressions/ambiguities early.
+using RefQualifiedOverloadedIntCast = py::detail::overload_cast_impl<int>;
+using RefQualifiedOverloadedFloatCast = py::detail::overload_cast_impl<float>;
+static_assert(
+    std::is_same<decltype(RefQualifiedOverloadedIntCast{}(&RefQualifiedOverloaded::method)),
+                 py::str (RefQualifiedOverloaded::*)(int) &>::value,
+    "");
+static_assert(std::is_same<decltype(RefQualifiedOverloadedIntCast{}(
+                               &RefQualifiedOverloaded::method, py::const_)),
+                           py::str (RefQualifiedOverloaded::*)(int) const &>::value,
+              "");
+static_assert(
+    std::is_same<decltype(RefQualifiedOverloadedFloatCast{}(&RefQualifiedOverloaded::method)),
+                 py::str (RefQualifiedOverloaded::*)(float) &&>::value,
+    "");
+static_assert(std::is_same<decltype(RefQualifiedOverloadedFloatCast{}(
+                               &RefQualifiedOverloaded::method, py::const_)),
+                           py::str (RefQualifiedOverloaded::*)(float) const &&>::value,
+              "");
+
+#ifdef __cpp_noexcept_function_type
+using RefQualifiedOverloadedLongCast = py::detail::overload_cast_impl<long>;
+using RefQualifiedOverloadedDoubleCast = py::detail::overload_cast_impl<double>;
+static_assert(
+    std::is_same<decltype(RefQualifiedOverloadedLongCast{}(&RefQualifiedOverloaded::method)),
+                 py::str (RefQualifiedOverloaded::*)(long) & noexcept>::value,
+    "");
+static_assert(std::is_same<decltype(RefQualifiedOverloadedLongCast{}(
+                               &RefQualifiedOverloaded::method, py::const_)),
+                           py::str (RefQualifiedOverloaded::*)(long) const & noexcept>::value,
+              "");
+static_assert(
+    std::is_same<decltype(RefQualifiedOverloadedDoubleCast{}(&RefQualifiedOverloaded::method)),
+                 py::str (RefQualifiedOverloaded::*)(double) && noexcept>::value,
+    "");
+static_assert(std::is_same<decltype(RefQualifiedOverloadedDoubleCast{}(
+                               &RefQualifiedOverloaded::method, py::const_)),
+                           py::str (RefQualifiedOverloaded::*)(double) const && noexcept>::value,
+              "");
+#endif
+
 // Test explicit lvalue ref-qualification
 struct RefQualified {
     int value = 0;
@@ -498,6 +615,161 @@
         = decltype(py::method_adaptor<RegisteredDerived>(&RegisteredDerived::do_nothing));
     static_assert(std::is_same<Adapted, void (RegisteredDerived::*)() const>::value, "");
 
+    // test_noexcept_base (issue #2234)
+    // In C++17, noexcept is part of the function type. Binding a noexcept method from an
+    // unregistered base class must resolve `self` to the derived type, not the base type.
+    py::class_<NoexceptDerived>(m, "NoexceptDerived")
+        .def(py::init<>())
+        // cpp_function(Return (Class::*)(Args...) const noexcept, ...)
+        .def("value", &NoexceptDerived::value)
+        // cpp_function(Return (Class::*)(Args...) noexcept, ...)
+        .def("set_value", &NoexceptDerived::set_value)
+        // cpp_function(Return (Class::*)(Args...) & noexcept, ...)
+        .def("increment", &NoexceptDerived::increment)
+        // cpp_function(Return (Class::*)(Args...) const & noexcept, ...)
+        .def("capped_value", &NoexceptDerived::capped_value);
+
+    // test_rvalue_ref_qualified_methods: rvalue-ref-qualified methods from an unregistered base.
+    // method_adaptor must rebind &&/const&& member pointers to the derived type.
+    py::class_<RValueRefDerived>(m, "RValueRefDerived")
+        .def(py::init<>())
+        // cpp_function(Return (Class::*)(Args...) &&, ...)
+        .def("take", &RValueRefDerived::take)
+        // cpp_function(Return (Class::*)(Args...) const &&, ...)
+        .def("peek", &RValueRefDerived::peek)
+#ifdef __cpp_noexcept_function_type
+        // cpp_function(Return (Class::*)(Args...) && noexcept, ...)
+        .def("take_noexcept", &RValueRefDerived::take_noexcept)
+        // cpp_function(Return (Class::*)(Args...) const && noexcept, ...)
+        .def("peek_noexcept", &RValueRefDerived::peek_noexcept)
+#endif
+        ;
+
+    // Verify that &&-qualified methods cannot be called on lvalues, only on rvalues.
+    // This confirms that the cpp_function lambda must use std::move(*c).*f, not c->*f.
+#if __cplusplus >= 201703L
+    static_assert(!std::is_invocable<std::string (RValueRefUnregisteredBase::*)() &&,
+                                     RValueRefUnregisteredBase &>::value,
+                  "&&-qualified method must not be callable on lvalue");
+    static_assert(std::is_invocable<std::string (RValueRefUnregisteredBase::*)() &&,
+                                    RValueRefUnregisteredBase &&>::value,
+                  "&&-qualified method must be callable on rvalue");
+#endif
+
+    // Verify method_adaptor preserves &&/const&& qualifiers when rebinding.
+    using AdaptedRRef = decltype(py::method_adaptor<RValueRefDerived>(&RValueRefDerived::take));
+    static_assert(std::is_same<AdaptedRRef, std::string (RValueRefDerived::*)() &&>::value, "");
+    using AdaptedConstRRef
+        = decltype(py::method_adaptor<RValueRefDerived>(&RValueRefDerived::peek));
+    static_assert(std::is_same<AdaptedConstRRef, int (RValueRefDerived::*)() const &&>::value, "");
+
+#ifdef __cpp_noexcept_function_type
+    // method_adaptor must also handle noexcept member function pointers (issue #2234).
+    // Verify the noexcept specifier is preserved in the resulting Derived pointer type.
+    using AdaptedConstNoexcept
+        = decltype(py::method_adaptor<NoexceptDerived>(&NoexceptDerived::value));
+    static_assert(
+        std::is_same<AdaptedConstNoexcept, int (NoexceptDerived::*)() const noexcept>::value, "");
+    using AdaptedNoexcept
+        = decltype(py::method_adaptor<NoexceptDerived>(&NoexceptDerived::set_value));
+    static_assert(std::is_same<AdaptedNoexcept, void (NoexceptDerived::*)(int) noexcept>::value,
+                  "");
+    using AdaptedRRefNoexcept
+        = decltype(py::method_adaptor<RValueRefDerived>(&RValueRefDerived::take_noexcept));
+    static_assert(std::is_same < AdaptedRRefNoexcept,
+                  std::string (RValueRefDerived::*)() && noexcept > ::value,
+                  "");
+    using AdaptedConstRRefNoexcept
+        = decltype(py::method_adaptor<RValueRefDerived>(&RValueRefDerived::peek_noexcept));
+    static_assert(std::is_same < AdaptedConstRRefNoexcept,
+                  int (RValueRefDerived::*)() const && noexcept > ::value,
+                  "");
+#endif
+
+    // test_noexcept_overload_cast (issue #2234)
+    // overload_cast must have noexcept operator() overloads so it can resolve noexcept methods.
+#ifdef PYBIND11_OVERLOAD_CAST
+    py::class_<NoexceptOverloaded>(m, "NoexceptOverloaded")
+        .def(py::init<>())
+        // overload_cast_impl::operator()(Return (Class::*)(Args...) noexcept, false_type)
+        .def("method", py::overload_cast<int>(&NoexceptOverloaded::method))
+        // overload_cast_impl::operator()(Return (Class::*)(Args...) const noexcept, true_type)
+        .def("method_const", py::overload_cast<int>(&NoexceptOverloaded::method, py::const_))
+        // overload_cast_impl::operator()(Return (Class::*)(Args...) noexcept, false_type) float
+        .def("method_float", py::overload_cast<float>(&NoexceptOverloaded::method));
+    // overload_cast_impl::operator()(Return (*)(Args...) noexcept)
+    m.def("noexcept_free_func", py::overload_cast<int>(noexcept_free_func));
+    m.def("noexcept_free_func_float", py::overload_cast<float>(noexcept_free_func));
+
+    py::class_<RefQualifiedOverloaded>(m, "RefQualifiedOverloaded")
+        .def(py::init<>())
+        // overload_cast_impl::operator()(Return (Class::*)(Args...) &, false_type)
+        .def("method_lref", py::overload_cast<int>(&RefQualifiedOverloaded::method))
+        // overload_cast_impl::operator()(Return (Class::*)(Args...) const &, true_type)
+        .def("method_const_lref",
+             py::overload_cast<int>(&RefQualifiedOverloaded::method, py::const_))
+        // overload_cast_impl::operator()(Return (Class::*)(Args...) &&, false_type)
+        .def("method_rref", py::overload_cast<float>(&RefQualifiedOverloaded::method))
+        // overload_cast_impl::operator()(Return (Class::*)(Args...) const &&, true_type)
+        .def("method_const_rref",
+             py::overload_cast<float>(&RefQualifiedOverloaded::method, py::const_))
+#    ifdef __cpp_noexcept_function_type
+        // overload_cast_impl::operator()(Return (Class::*)(Args...) & noexcept, false_type)
+        .def("method_lref_noexcept", py::overload_cast<long>(&RefQualifiedOverloaded::method))
+        // overload_cast_impl::operator()(Return (Class::*)(Args...) const & noexcept, true_type)
+        .def("method_const_lref_noexcept",
+             py::overload_cast<long>(&RefQualifiedOverloaded::method, py::const_))
+        // overload_cast_impl::operator()(Return (Class::*)(Args...) && noexcept, false_type)
+        .def("method_rref_noexcept", py::overload_cast<double>(&RefQualifiedOverloaded::method))
+        // overload_cast_impl::operator()(Return (Class::*)(Args...) const && noexcept, true_type)
+        .def("method_const_rref_noexcept",
+             py::overload_cast<double>(&RefQualifiedOverloaded::method, py::const_))
+#    endif
+        ;
+#else
+    // Fallback using explicit static_cast for C++11/14
+    py::class_<NoexceptOverloaded>(m, "NoexceptOverloaded")
+        .def(py::init<>())
+        .def("method",
+             static_cast<py::str (NoexceptOverloaded::*)(int)>(&NoexceptOverloaded::method))
+        .def("method_const",
+             static_cast<py::str (NoexceptOverloaded::*)(int) const>(&NoexceptOverloaded::method))
+        .def("method_float",
+             static_cast<py::str (NoexceptOverloaded::*)(float)>(&NoexceptOverloaded::method));
+    m.def("noexcept_free_func", static_cast<int (*)(int)>(noexcept_free_func));
+    m.def("noexcept_free_func_float", static_cast<int (*)(float)>(noexcept_free_func));
+
+    py::class_<RefQualifiedOverloaded>(m, "RefQualifiedOverloaded")
+        .def(py::init<>())
+        .def("method_lref",
+             static_cast<py::str (RefQualifiedOverloaded::*)(int) &>(
+                 &RefQualifiedOverloaded::method))
+        .def("method_const_lref",
+             static_cast<py::str (RefQualifiedOverloaded::*)(int) const &>(
+                 &RefQualifiedOverloaded::method))
+        .def("method_rref",
+             static_cast<py::str (RefQualifiedOverloaded::*)(float) &&>(
+                 &RefQualifiedOverloaded::method))
+        .def("method_const_rref",
+             static_cast<py::str (RefQualifiedOverloaded::*)(float) const &&>(
+                 &RefQualifiedOverloaded::method))
+#    ifdef __cpp_noexcept_function_type
+        .def("method_lref_noexcept",
+             static_cast<py::str (RefQualifiedOverloaded::*)(long) & noexcept>(
+                 &RefQualifiedOverloaded::method))
+        .def("method_const_lref_noexcept",
+             static_cast<py::str (RefQualifiedOverloaded::*)(long) const & noexcept>(
+                 &RefQualifiedOverloaded::method))
+        .def("method_rref_noexcept",
+             static_cast < py::str (RefQualifiedOverloaded::*)(double)
+                 && noexcept > (&RefQualifiedOverloaded::method))
+        .def("method_const_rref_noexcept",
+             static_cast < py::str (RefQualifiedOverloaded::*)(double) const && noexcept
+                 > (&RefQualifiedOverloaded::method))
+#    endif
+        ;
+#endif
+
     // test_methods_and_attributes
     py::class_<RefQualified>(m, "RefQualified")
         .def(py::init<>())
diff --git a/tests/test_methods_and_attributes.py b/tests/test_methods_and_attributes.py
index ef0e7ac..c094374 100644
--- a/tests/test_methods_and_attributes.py
+++ b/tests/test_methods_and_attributes.py
@@ -5,7 +5,7 @@
 import pytest
 
 import env
-from pybind11_tests import ConstructorStats
+from pybind11_tests import ConstructorStats, defined___cpp_noexcept_function_type
 from pybind11_tests import methods_and_attributes as m
 
 NO_GETTER_MSG = (
@@ -534,6 +534,130 @@
     assert a.ro_value_prop == 1.75
 
 
+def test_noexcept_base():
+    """Test issue #2234: binding noexcept methods inherited from an unregistered base class.
+
+    In C++17 noexcept is part of the function type, so &Derived::noexcept_method resolves
+    to a Base member-function pointer with noexcept specifier.  pybind11 must use the Derived
+    type as `self`, not the Base type, otherwise the call raises TypeError at runtime.
+
+    Covers all four new cpp_function constructor specialisations:
+      - Return (Class::*)(Args...) noexcept          (set_value)
+      - Return (Class::*)(Args...) const noexcept    (value)
+      - Return (Class::*)(Args...) & noexcept        (increment)
+      - Return (Class::*)(Args...) const & noexcept  (capped_value)
+    """
+    obj = m.NoexceptDerived()
+    # const noexcept
+    assert obj.value() == 99
+    # noexcept (non-const)
+    obj.set_value(7)
+    assert obj.value() == 7
+    # & noexcept (non-const lvalue ref-qualified)
+    obj.increment()
+    assert obj.value() == 8
+    # const & noexcept (const lvalue ref-qualified)
+    assert obj.capped_value() == 8
+    obj.set_value(200)
+    assert obj.capped_value() == 100  # capped at 100
+
+
+def test_rvalue_ref_qualified_methods():
+    """Test that rvalue-ref-qualified (&&/const&&) methods from an unregistered base bind
+    correctly with `self` resolved to the derived type.
+
+    take() moves m_payload out on each call, so the second call returns "".
+    This confirms that the cpp_function lambda uses std::move(*c).*f rather than c->*f.
+
+    Covers:
+      - Return (Class::*)(Args...) &&              (take)
+      - Return (Class::*)(Args...) const &&        (peek)
+    """
+    obj = m.RValueRefDerived()
+    # && moves m_payload: first call gets the value, second gets empty string
+    assert obj.take() == "rref_payload"
+    assert obj.take() == ""
+    # const && doesn't move: peek() is stable across calls
+    assert obj.peek() == 77
+    assert obj.peek() == 77
+
+
+@pytest.mark.skipif(
+    not defined___cpp_noexcept_function_type,
+    reason="Requires __cpp_noexcept_function_type",
+)
+def test_noexcept_rvalue_ref_qualified_methods():
+    """Test noexcept rvalue-ref-qualified methods from an unregistered base.
+
+    Covers:
+      - Return (Class::*)(Args...) && noexcept       (take_noexcept)
+      - Return (Class::*)(Args...) const && noexcept (peek_noexcept)
+    """
+    obj = m.RValueRefDerived()
+    assert obj.take_noexcept() == "rref_payload"
+    assert obj.take_noexcept() == ""
+    assert obj.peek_noexcept() == 77
+    assert obj.peek_noexcept() == 77
+
+
+def test_noexcept_overload_cast():
+    """Test issue #2234: overload_cast must handle noexcept member and free function pointers.
+
+    In C++17 noexcept is part of the function type, so overload_cast_impl needs dedicated
+    operator() overloads for noexcept free functions and non-const/const member functions.
+    """
+    obj = m.NoexceptOverloaded()
+    # overload_cast_impl::operator()(Return (Class::*)(Args...) noexcept, false_type)
+    assert obj.method(1) == "(int)"
+    # overload_cast_impl::operator()(Return (Class::*)(Args...) const noexcept, true_type)
+    assert obj.method_const(2) == "(int) const"
+    # overload_cast_impl::operator()(Return (Class::*)(Args...) noexcept, false_type) float
+    assert obj.method_float(3.0) == "(float)"
+    # overload_cast_impl::operator()(Return (*)(Args...) noexcept)
+    assert m.noexcept_free_func(10) == 11
+    assert m.noexcept_free_func_float(10.0) == 12
+
+
+def test_ref_qualified_overload_cast():
+    """Test issue #2234 follow-up: overload_cast with ref-qualified member pointers.
+
+    Covers:
+      - overload_cast_impl::operator()(Return (Class::*)(Args...) &, false_type)
+      - overload_cast_impl::operator()(Return (Class::*)(Args...) const &, true_type)
+      - overload_cast_impl::operator()(Return (Class::*)(Args...) &&, false_type)
+      - overload_cast_impl::operator()(Return (Class::*)(Args...) const &&, true_type)
+      - overload_cast_impl::operator()(Return (Class::*)(Args...) & noexcept, false_type)
+      - overload_cast_impl::operator()(Return (Class::*)(Args...) const & noexcept, true_type)
+      - overload_cast_impl::operator()(Return (Class::*)(Args...) && noexcept, false_type)
+      - overload_cast_impl::operator()(Return (Class::*)(Args...) const && noexcept, true_type)
+    """
+    obj = m.RefQualifiedOverloaded()
+    assert obj.method_lref(1) == "(int) &"
+    assert obj.method_const_lref(1) == "(int) const &"
+    assert obj.method_rref(1.0) == "(float) &&"
+    assert obj.method_const_rref(1.0) == "(float) const &&"
+
+
+@pytest.mark.skipif(
+    not defined___cpp_noexcept_function_type,
+    reason="Requires __cpp_noexcept_function_type",
+)
+def test_noexcept_ref_qualified_overload_cast():
+    """Test issue #2234 follow-up: overload_cast with noexcept ref-qualified member pointers.
+
+    Covers:
+      - overload_cast_impl::operator()(Return (Class::*)(Args...) & noexcept, false_type)
+      - overload_cast_impl::operator()(Return (Class::*)(Args...) const & noexcept, true_type)
+      - overload_cast_impl::operator()(Return (Class::*)(Args...) && noexcept, false_type)
+      - overload_cast_impl::operator()(Return (Class::*)(Args...) const && noexcept, true_type)
+    """
+    obj = m.RefQualifiedOverloaded()
+    assert obj.method_lref_noexcept(1) == "(long) & noexcept"
+    assert obj.method_const_lref_noexcept(1) == "(long) const & noexcept"
+    assert obj.method_rref_noexcept(1.0) == "(double) && noexcept"
+    assert obj.method_const_rref_noexcept(1.0) == "(double) const && noexcept"
+
+
 def test_ref_qualified():
     """Tests that explicit lvalue ref-qualified methods can be called just like their
     non ref-qualified counterparts."""
diff --git a/tests/test_numpy_vectorize.cpp b/tests/test_numpy_vectorize.cpp
index dcc4c6a..2334521 100644
--- a/tests/test_numpy_vectorize.cpp
+++ b/tests/test_numpy_vectorize.cpp
@@ -78,6 +78,27 @@
     struct VectorizeTestClass {
         explicit VectorizeTestClass(int v) : value{v} {};
         float method(int x, float y) const { return y + (float) (x + value); }
+        // Exercises vectorize(Return (Class::*)(Args...) &)
+        // NOLINTNEXTLINE(readability-make-member-function-const)
+        float method_lref(int x, float y) & { return y + (float) (x + value); }
+        // Exercises vectorize(Return (Class::*)(Args...) const &)
+        float method_const_lref(int x, float y) const & { return y + (float) (x + value); }
+        // Exercises vectorize(Return (Class::*)(Args...) noexcept)
+        // NOLINTNEXTLINE(readability-make-member-function-const)
+        float method_noexcept(int x, float y) noexcept { return y + (float) (x + value); }
+        // Exercises vectorize(Return (Class::*)(Args...) const noexcept)
+        float method_const_noexcept(int x, float y) const noexcept {
+            return y + (float) (x + value);
+        }
+#ifdef __cpp_noexcept_function_type
+        // Exercises vectorize(Return (Class::*)(Args...) & noexcept)
+        // NOLINTNEXTLINE(readability-make-member-function-const)
+        float method_lref_noexcept(int x, float y) & noexcept { return y + (float) (x + value); }
+        // Exercises vectorize(Return (Class::*)(Args...) const & noexcept)
+        float method_const_lref_noexcept(int x, float y) const & noexcept {
+            return y + (float) (x + value);
+        }
+#endif
         int value = 0;
     };
     py::class_<VectorizeTestClass> vtc(m, "VectorizeTestClass");
@@ -85,6 +106,15 @@
 
     // Automatic vectorizing of methods
     vtc.def("method", py::vectorize(&VectorizeTestClass::method));
+    vtc.def("method_lref", py::vectorize(&VectorizeTestClass::method_lref));
+    vtc.def("method_const_lref", py::vectorize(&VectorizeTestClass::method_const_lref));
+    vtc.def("method_noexcept", py::vectorize(&VectorizeTestClass::method_noexcept));
+    vtc.def("method_const_noexcept", py::vectorize(&VectorizeTestClass::method_const_noexcept));
+#ifdef __cpp_noexcept_function_type
+    vtc.def("method_lref_noexcept", py::vectorize(&VectorizeTestClass::method_lref_noexcept));
+    vtc.def("method_const_lref_noexcept",
+            py::vectorize(&VectorizeTestClass::method_const_lref_noexcept));
+#endif
 
     // test_trivial_broadcasting
     // Internal optimization test for whether the input is trivially broadcastable:
diff --git a/tests/test_numpy_vectorize.py b/tests/test_numpy_vectorize.py
index 05f7c70..030abec 100644
--- a/tests/test_numpy_vectorize.py
+++ b/tests/test_numpy_vectorize.py
@@ -2,6 +2,7 @@
 
 import pytest
 
+from pybind11_tests import defined___cpp_noexcept_function_type
 from pybind11_tests import numpy_vectorize as m
 
 np = pytest.importorskip("numpy")
@@ -246,6 +247,56 @@
     assert np.all(o.method(x, y) == [[14, 15], [24, 25]])
 
 
+def test_ref_qualified_method_vectorization():
+    """Test issue #2234 follow-up: vectorize with lvalue-ref-qualified member pointers.
+
+    Covers:
+      - vectorize(Return (Class::*)(Args...) &)
+      - vectorize(Return (Class::*)(Args...) const &)
+      - vectorize(Return (Class::*)(Args...) & noexcept)
+      - vectorize(Return (Class::*)(Args...) const & noexcept)
+    """
+    o = m.VectorizeTestClass(3)
+    x = np.array([1, 2], dtype="int")
+    y = np.array([[10], [20]], dtype="float32")
+    assert np.all(o.method_lref(x, y) == [[14, 15], [24, 25]])
+    assert np.all(o.method_const_lref(x, y) == [[14, 15], [24, 25]])
+
+
+@pytest.mark.skipif(
+    not defined___cpp_noexcept_function_type,
+    reason="Requires __cpp_noexcept_function_type",
+)
+def test_noexcept_ref_qualified_method_vectorization():
+    """Test issue #2234 follow-up: vectorize with noexcept lvalue-ref-qualified member pointers.
+
+    Covers:
+      - vectorize(Return (Class::*)(Args...) & noexcept)
+      - vectorize(Return (Class::*)(Args...) const & noexcept)
+    """
+    o = m.VectorizeTestClass(3)
+    x = np.array([1, 2], dtype="int")
+    y = np.array([[10], [20]], dtype="float32")
+    assert np.all(o.method_lref_noexcept(x, y) == [[14, 15], [24, 25]])
+    assert np.all(o.method_const_lref_noexcept(x, y) == [[14, 15], [24, 25]])
+
+
+def test_noexcept_method_vectorization():
+    """Test issue #2234: vectorize must handle noexcept member function pointers.
+
+    Covers both new vectorize specialisations:
+      - vectorize(Return (Class::*)(Args...) noexcept)
+      - vectorize(Return (Class::*)(Args...) const noexcept)
+    """
+    o = m.VectorizeTestClass(3)
+    x = np.array([1, 2], dtype="int")
+    y = np.array([[10], [20]], dtype="float32")
+    # vectorize(Return (Class::*)(Args...) noexcept)
+    assert np.all(o.method_noexcept(x, y) == [[14, 15], [24, 25]])
+    # vectorize(Return (Class::*)(Args...) const noexcept)
+    assert np.all(o.method_const_noexcept(x, y) == [[14, 15], [24, 25]])
+
+
 def test_array_collapse():
     assert not isinstance(m.vectorized_func(1, 2, 3), np.ndarray)
     assert not isinstance(m.vectorized_func(np.array(1), 2, 3), np.ndarray)