diff --git a/_appmap/event.py b/_appmap/event.py
index a61a5a04..0bb254cf 100644
--- a/_appmap/event.py
+++ b/_appmap/event.py
@@ -6,6 +6,7 @@
 from functools import lru_cache, partial
 from inspect import Parameter, Signature
 from itertools import chain
+import types
 
 from .env import Env
 from .recorder import Recorder
@@ -175,6 +176,31 @@ def to_dict(self, value):
         ret.update(describe_value(self.name, value))
         return ret
 
+def _get_name_parts(filterable):
+    """
+    Return the module name and qualname for filterable.obj.
+
+    If filterable.obj is an operator.attrgetter that we've determined is associated with a property,
+    compute the names from the fqname of the filterable. If it's anything else, try to get its
+    __module__ and __qualname__, falling back to default values if they're not available.
+    """
+    fn = filterable.obj
+    assert callable(fn), f"{filterable} doesn't have a callable obj"
+
+    if (
+        type(fn) is operator.attrgetter
+        and (parts := filterable.fqname.split("."))
+        and len(parts) > 2
+    ):
+        # filterable.fqname was set when we identified this filterable as a property
+        modname = ".".join(parts[:-2])
+        qualname = ".".join(parts[-2:])
+    else:
+        modname = getattr(fn, "__module__", "unknown")
+        qualname = getattr(fn, "__qualname__", None)
+        if qualname is None:
+            qualname = getattr(fn.__class__, "__name__", "unknown")
+    return modname, qualname
 
 class CallEvent(Event):
     # pylint: disable=method-cache-max-size-none
@@ -318,21 +344,7 @@ def __init__(self, filterable, parameters, labels):
         super().__init__("call")
         fn = filterable.obj
         self._fn = fn
-        if type(fn) is not operator.attrgetter:
-            # fn is a regular function
-            modname = fn.__module__
-            qualname = fn.__qualname__
-        elif (parts := filterable.fqname.split(".")) and len(parts) > 2:
-            # fn is an attrgetter, which will is being used as the getter for a property. If
-            # filterable.fqname has enough components to be the fully-qualified name of a class
-            # member, set the module name and qualname based on those components.
-            modname = ".".join(parts[:-2])
-            qualname = ".".join(parts[-2:])
-        else:
-            # The two previous cases should handle all known possibilities, but don't crash if
-            # somethign else sneaks in.
-            modname = "unknown"
-            qualname = "unknown"
+        modname, qualname = _get_name_parts(filterable)
         self._fqfn = FqFnName(modname, qualname)
 
         fntype = filterable.fntype
diff --git a/_appmap/test/data/properties_class.py b/_appmap/test/data/properties_class.py
index ab81f898..e6a3f119 100644
--- a/_appmap/test/data/properties_class.py
+++ b/_appmap/test/data/properties_class.py
@@ -1,8 +1,12 @@
-from functools import cached_property
+from functools import cached_property, partial
 import operator
 from typing import NoReturn
 
+def free_read_only(self):
+    return self._read_only
 
+def free_func():
+    return "hello world"
 class PropertiesClass:
     def __init__(self):
         self._read_only = "read only"
@@ -54,3 +58,14 @@ def cached_read_only(self):
         return self._read_only
 
     operator_read_only = property(operator.attrgetter("cached_read_only"))
+
+    tastes = {"bacon": "yum"}
+
+    def __getitem__(self, key):
+        return self.tastes[key]
+
+    taste = property(operator.itemgetter("bacon"))
+
+    free_read_only_prop = property(free_read_only)
+
+    static_partial_method = staticmethod(partial(free_func))
diff --git a/_appmap/test/test_properties.py b/_appmap/test/test_properties.py
index 565d0566..b1039836 100644
--- a/_appmap/test/test_properties.py
+++ b/_appmap/test/test_properties.py
@@ -109,3 +109,39 @@ def test_operator_attrgetter(events):
         "defined_class": "properties_class.PropertiesClass",
         "method_id": "operator_read_only (get)",
     })
+
+def test_operator_itemgetter(events):
+    from properties_class import PropertiesClass
+
+    ec = PropertiesClass()
+    assert ec.taste == "yum"
+    assert len(events) == 2
+    assert events[0].to_dict() == DictIncluding({
+        "event": "call",
+        "defined_class": "operator",
+        "method_id": "itemgetter (get)",
+    })
+
+
+def test_free_function(events):
+    from properties_class import PropertiesClass
+
+    ec = PropertiesClass()
+    assert ec.free_read_only_prop == "read only"
+    assert len(events) == 2
+    assert events[0].to_dict() == DictIncluding({
+        "event": "call",
+        "defined_class": "properties_class",
+        "method_id": "free_read_only (get)",
+    })
+
+
+@pytest.mark.xfail(
+    raises=AssertionError,
+    reason="needs fix for https://github.com/getappmap/appmap-python/issues/365",
+)
+def test_functools_partial(events):
+    from properties_class import PropertiesClass
+
+    PropertiesClass.static_partial_method()
+    assert len(events) > 0
\ No newline at end of file