Vintage Rabbit Fur Hat

A vintage fur woman's hat; those with more knowledge than I tell me that it is made of rabbit fur The color is brown with grey highlights highlights. The stitching looks to be mostly intact but some stitching is beginning to go (see picture please). If you like the beaver fur coat my niece is wearing that will be available in another listing. I'm not sure how to measure this type of hat; it has 2 different buttons to accommodate some size differences. It is 13" from top to bottom and its sides are 9" deep.