toy granny

This doll was given to me as a gift from my father in about 1946.  When you wind the key, the weight, located in a ball on the hat, causes the hat to spin and the uneven base makes the doll turn and wobble as she "dances".  The doll is molded from some sort of light weight plastic.  The back and front are molded and then attached together at the sides with tabs through a slot at her shoulders.  I have looked the doll over from head to toe and have not been able to find any identifying marks to indicate the manufacturer or place of origin.  All I know is that I was told that my father went to visit his father in Green Bay, Wisconsin and apparently he attended a fair or carnival while there.  Whether he got the doll there or not is unsure, but I am quite sure it came from Green Bay and I know that I was less than 2 years old when I got it.  I have included photos taken of the doll from four angles.