Annalee Doll Description: Last one. Olive green bang hat with doll head wearing miniature red bang hat, open eyes, open mouth. This doll came from the Annalee Museum. A bang hat is a faux fur hat with thin wire frame that allows the hat to be bent into any shape imaginable. A flick of the wrist and it's a beanie; another flick and it's over your ears; a left twist gives it a Cossack flavor, or for laughs it can be worn straight up, down, out, in and sideways. Each of the hats is topped with a miniature doll's face wearing a mini version of the bang hat. This may have been designed for a child because it does not have any wire in the bottom and is much shorter.