Beautiful cloche hat, good condition. Band is not original, so may require some love to get it to your liking. 
Based on cut it's a cloche hat, but I suppose could also be reshaped as a short brim fedora though one side of the brim is slightly shorter than the other. Size measures about 22 inches +- so about a size medium, though I believe these were never size tagged and meant as one size fits.
See pictures . Selling as pictured .