We have a Gelharr Uniform Hat /cap Vintage item.  It is labeled size 7 1/4.  If I had to estimate it's age I would say somepoint between the 1960's - 1970's.  It is in nice conditon with the very top "maybe" being slightly indented in the front - I would say this should be able to be retrained.

Uniform Hat / cap Gelharr Vintage