This is difficult to determine from just the photo, as you know. It is a take off on a man's Western hat, similar to the popular "Open Road" style but the brim being turned up on this one. It is not a Homberg. Impossible to say who the maker was. Each maker would usually give their hats a style name that differed from maker to maker, even if they looked exactly the same. For instance, the "Open Road" was so extremely popular it was copied by a number of major hat makers, each giving it their own made up style name such as "Vagabond", etc.