I assume that examples of her hats exist?
Not that I know of.
This ; Women and Museums: A Comprehensive Guide - Page 33
https://books.google.com/books?isbn=0759108552Victor J. Danilov - 2005 - Preview - More editions
The Amelia Earhart Birthplace Museum is owned and operated by the Ninety-Nines, Inc., an international organization of women pilots founded by Earhart and 98 other women. It contains period furnishings, memorabilia, and exhibits on Earhart and other women pilots. Life-size statues of Earhart are also located in downtown Atchison and a memorial park (see Memorials to Women). ... A glass case also displays her valise,
hat, purse, and a hatchet pin she sold to help pay her fines.
I can't say what type of hat her birthplace museum houses,....looking through some photos, I see what looks like another flying helmet, but hard to see everything within the cases. I don't know if the skull cap is a gift shop item or???
http://www.ameliaearhartmuseum.org/