Thanks Jim, that is great information.
Let me run a few things by you. There are two pieces I have that my be relevant. The fist is this poster in a barbershop photo for Great Western Tailoring Company featuring famous baseball players:
https://www.net54baseball.com/showthread.php?t=267143
The other ad on the wall is for FW Ruebenbach Tailor in Sebastapol, CA. So not likely to be a Chicago barber with this ad on his wall.
The second piece is the reason I started this thread. This is an ad for the Great Western Glove Manufacturing Company in Chicago:
Great Western ad crop.jpg
This comes from a book I have dated to 1900 and seems to suggest they were selling gloves at that time.
I am curious if all of these "Great Western" might be divisions of the same company? Was this company selling gloves well before the 1920s-1930s?