diff --git a/src/nested_pandas/nestedframe/core.py b/src/nested_pandas/nestedframe/core.py
index c93870b..ba4ba18 100644
--- a/src/nested_pandas/nestedframe/core.py
+++ b/src/nested_pandas/nestedframe/core.py
@@ -84,9 +84,9 @@ def __init__(self, outer: NestedFrame):
         super().__init__()
         # Pre-load the field resolvers for all columns which are known at present.
         for column in outer.nested_columns:
-            self._initialize_field_resolver(column, outer)
+            self._initialize_column_resolver(column, outer)
 
-    def _initialize_field_resolver(self, column: str, outer: NestedFrame):
+    def _initialize_column_resolver(self, column: str, outer: NestedFrame):
         """
         Initialize a resolver for the given nested column, and also an alias
         for it, in the case of column names that have spaces or are otherwise
@@ -108,7 +108,7 @@ def __getitem__(self, item):
         if not super().__contains__(top_nest):
             if top_nest not in self._outer.nested_columns:
                 raise KeyError(f"Unknown nest {top_nest}")
-            self._initialize_field_resolver(top_nest, self._outer)
+            self._initialize_column_resolver(top_nest, self._outer)
         return super().__getitem__(top_nest)
 
     def __setitem__(self, item, _):
@@ -232,6 +232,8 @@ class NestedFrame(pd.DataFrame):
     # Series produce instances of this class, preserving the type and origin.
     __pandas_priority__ = 4500
 
+    _metadata = ["_aliases"]
+
     @property
     def _constructor(self) -> Self:  # type: ignore[name-defined] # noqa: F821
         return NestedFrame
@@ -309,6 +311,9 @@ def __getitem__(self, item):
     def __setitem__(self, key, value):
         """Adds custom __setitem__ behavior for nested columns"""
         components = parse_hierarchical_components(key)
+        aliases = getattr(self, "_aliases", None)
+        if aliases:
+            components = [aliases.get(x, x) for x in components]
         # Replacing or adding columns to a nested structure
         # Allows statements like ndf["nested.t"] = ndf["nested.t"] - 5
         # Or ndf["nested.base_t"] = ndf["nested.t"] - 5
@@ -553,6 +558,23 @@ def eval(self, expr: str, *, inplace: bool = False, **kwargs) -> Any | None:
         --------
         https://pandas.pydata.org/docs/reference/api/pandas.eval.html
         """
+        pattern = re.compile(r"`[^`]+`", re.MULTILINE)
+        # Gather all aliases for backtick-quoted names, and give them to the _NestResolver.
+        # We need to be proactive, syntactically, and not merely look up column names that
+        # presently exist, because both column and field names may be created by separate
+        # lines.
+        self._aliases: dict[str, str] = {}
+
+        def sub_and_alias(match):
+            original = match.group(0)[1:-1]  # remove backticks
+            alias = clean_column_name(original)
+            if alias != original:
+                self._aliases[alias] = original
+            return alias
+
+        # Something like this will be done again; we're not saving this.
+        _ = pattern.sub(sub_and_alias, expr)
+
         kwargs["resolvers"] = tuple(kwargs.get("resolvers", ())) + (_NestResolver(self),)
         kwargs["inplace"] = inplace
         kwargs["parser"] = "nested-pandas"
diff --git a/tests/nested_pandas/nestedframe/test_nestedframe.py b/tests/nested_pandas/nestedframe/test_nestedframe.py
index 96abc3d..ccc93da 100644
--- a/tests/nested_pandas/nestedframe/test_nestedframe.py
+++ b/tests/nested_pandas/nestedframe/test_nestedframe.py
@@ -1045,6 +1045,20 @@ def test_eval_assignment():
     assert (nf["p2.e"] == nf["packed.d"] * 2 + nf.c).all()
     assert (nf["p2.f"] == nf["p2.e"] + nf.b).all()
 
+    # Verify that assignment can be done to nested columns and fields
+    # having names which are not valid Python identifiers, and must
+    # be quoted with backticks.
+    nf = NestedFrame(data={"dog": [1, 2, 3], "good dog": [2, 4, 6]}, index=[0, 1, 2])
+    nested = pd.DataFrame(
+        data={"n/a": [0, 2, 4, 1, 4, 3, 1, 4, 1], "n/b": [5, 4, 7, 5, 3, 1, 9, 3, 4]},
+        index=[0, 0, 0, 1, 1, 1, 2, 2, 2],
+    )
+    nf = nf.add_nested(nested, "bad dog")
+    nfx = nf.eval("`bad dog`.`n/c` = `bad dog`.`n/b` + 2.5")
+    # The number of columns at the top should not have changed
+    assert len(nfx.columns) == len(nf.columns)
+    assert (nfx["bad dog"].nest["n/c"] == nf["bad dog"].nest["n/b"] + 2.5).all()
+
 
 def test_access_non_existing_column():
     """Test that accessing a non-existing column raises a KeyError"""