This "Hat Conformator & Stretcher" was invented by Hugh Lyons of Lansing, Michigan. It was produced by the Hugh Lyons & Company, also of Lansing, ca.1890. As its name suggests, the device did two things. It stretched the hat to a particular size and it also conformed the hat to the specific dimensions of the wearer's head.
The Lyons was just one of several now-antique hat conformators (sometimes spelled conformateurs), hat stretchers and hat sizers that were produced. I'm interested them all. The more peculiar and complicated the apparatus, the more I'm interested.
Have one for sale? Please contact me at Antikey.Chop@gmail.com