diff --git a/pandas/core/frame.py b/pandas/core/frame.py
index 6c0a747b16745..a8c33a144378e 100644
--- a/pandas/core/frame.py
+++ b/pandas/core/frame.py
@@ -5545,7 +5545,7 @@ def replace(
         inplace: bool = False,
         limit=None,
         regex: bool = False,
-        method: str | lib.NoDefault = lib.no_default,
+        method: Literal["pad", "ffill", "bfill"] | lib.NoDefault = lib.no_default,
     ):
         return super().replace(
             to_replace=to_replace,
diff --git a/pandas/core/generic.py b/pandas/core/generic.py
index a10cfe1c615fa..34db1ab813dd1 100644
--- a/pandas/core/generic.py
+++ b/pandas/core/generic.py
@@ -6608,7 +6608,7 @@ def replace(
         inplace: bool_t = False,
         limit: int | None = None,
         regex=False,
-        method=lib.no_default,
+        method: Literal["pad", "ffill", "bfill"] | lib.NoDefault = lib.no_default,
     ):
         if not (
             is_scalar(to_replace)
diff --git a/pandas/core/indexes/multi.py b/pandas/core/indexes/multi.py
index 15d06ef3bc8e5..4da39318579eb 100644
--- a/pandas/core/indexes/multi.py
+++ b/pandas/core/indexes/multi.py
@@ -2643,7 +2643,10 @@ def _get_indexer_level_0(self, target) -> npt.NDArray[np.intp]:
         return ci.get_indexer_for(target)
 
     def get_slice_bound(
-        self, label: Hashable | Sequence[Hashable], side: str, kind=lib.no_default
+        self,
+        label: Hashable | Sequence[Hashable],
+        side: Literal["left", "right"],
+        kind=lib.no_default,
     ) -> int:
         """
         For an ordered MultiIndex, compute slice bound
@@ -2758,7 +2761,7 @@ def slice_locs(
         # happens in get_slice_bound method), but it adds meaningful doc.
         return super().slice_locs(start, end, step)
 
-    def _partial_tup_index(self, tup: tuple, side="left"):
+    def _partial_tup_index(self, tup: tuple, side: Literal["left", "right"] = "left"):
         if len(tup) > self._lexsort_depth:
             raise UnsortedIndexError(
                 f"Key length ({len(tup)}) was greater than MultiIndex lexsort depth "
diff --git a/pandas/core/series.py b/pandas/core/series.py
index 06815348fe4b9..cdebb67e1b6dc 100644
--- a/pandas/core/series.py
+++ b/pandas/core/series.py
@@ -5204,7 +5204,7 @@ def replace(
         inplace=False,
         limit=None,
         regex=False,
-        method: str | lib.NoDefault = lib.no_default,
+        method: Literal["pad", "ffill", "bfill"] | lib.NoDefault = lib.no_default,
     ):
         return super().replace(
             to_replace=to_replace,
diff --git a/pandas/core/shared_docs.py b/pandas/core/shared_docs.py
index 3a8a95865d10e..09ee254633b22 100644
--- a/pandas/core/shared_docs.py
+++ b/pandas/core/shared_docs.py
@@ -541,7 +541,7 @@
         string. Alternatively, this could be a regular expression or a
         list, dict, or array of regular expressions in which case
         `to_replace` must be ``None``.
-    method : {{'pad', 'ffill', 'bfill', `None`}}
+    method : {{'pad', 'ffill', 'bfill'}}
         The method to use when for replacement, when `to_replace` is a
         scalar, list or tuple and `value` is ``None``.
 
diff --git a/pandas/core/window/expanding.py b/pandas/core/window/expanding.py
index d1a8b70b34462..dcdcbc0483d59 100644
--- a/pandas/core/window/expanding.py
+++ b/pandas/core/window/expanding.py
@@ -9,6 +9,7 @@
 
 from pandas._typing import (
     Axis,
+    QuantileInterpolation,
     WindowingRankType,
 )
 
@@ -651,7 +652,7 @@ def kurt(self, numeric_only: bool = False, **kwargs):
     def quantile(
         self,
         quantile: float,
-        interpolation: str = "linear",
+        interpolation: QuantileInterpolation = "linear",
         numeric_only: bool = False,
         **kwargs,
     ):
diff --git a/pandas/core/window/rolling.py b/pandas/core/window/rolling.py
index b45f43adbe952..6e47c46cc7203 100644
--- a/pandas/core/window/rolling.py
+++ b/pandas/core/window/rolling.py
@@ -29,6 +29,7 @@
     ArrayLike,
     Axis,
     NDFrameT,
+    QuantileInterpolation,
     WindowingRankType,
 )
 from pandas.compat._optional import import_optional_dependency
@@ -1658,7 +1659,7 @@ def kurt(self, numeric_only: bool = False, **kwargs):
     def quantile(
         self,
         quantile: float,
-        interpolation: str = "linear",
+        interpolation: QuantileInterpolation = "linear",
         numeric_only: bool = False,
         **kwargs,
     ):
@@ -2553,7 +2554,7 @@ def kurt(self, numeric_only: bool = False, **kwargs):
     def quantile(
         self,
         quantile: float,
-        interpolation: str = "linear",
+        interpolation: QuantileInterpolation = "linear",
         numeric_only: bool = False,
         **kwargs,
     ):