Edgar Allan Poe Museum could refer to several museums dedicated to author Edgar Allan Poe:

Edgar Allan Poe National Historic Site, in Philadelphia, Pennsylvania

Edgar Allan Poe House and Museum, in Baltimore, Maryland

Edgar Allan Poe Museum (Richmond), in Richmond, Virginia

The "Edgar Allan Poe House", a home in Lenoir, North Carolina (on the National Register of Historic Places) which was owned by a mayor of that town, unrelated to the famous author