The ornamental design for a handbag with removable internal storage pouch, as shown and described.
FIG. 1 is a perspective view of an embodiment of a hand bag with removable internal storage pouch.
FIG. 2 is another perspective view of an embodiment of a hand bag with removable internal storage pouch.
FIG. 3 is a front view of an embodiment of a hand bag with removable internal storage pouch.
FIG. 4 is a rear view of an embodiment of a hand bag with removable internal storage pouch.
FIG. 5 is a right side view of an embodiment of a hand bag with removable internal storage pouch.
FIG. 6 is a left side view of an embodiment of a hand bag with removable internal storage pouch.
FIG. 7 is a top view of an embodiment of a hand bag with removable internal storage pouch.
FIG. 8 is another top view of an embodiment of a hand bag with removable internal storage pouch; and,
FIG. 9 is a bottom view of a hand bag with removable internal storage pouch.
The broken lines showing an internal pouch with zipper and labels are for the purposes of illustrating environment and forms no part of the claimed design.