Thanks for the replies. I did a little research on my own and came up with nothing definitive. I like the German club theory except that club was established in 1976 and it's in Australia. I could very well be wrong but I believe this ashtray is much older than that. I'm basing that on my years of collecting glass/crystal of various types.
I can find many references however to a couple AGA clubs referring to golfing clubs around the country in the early half of the 20th century which is when I believe this dates to. There is the Arizona Golf Asssoc. (1923) and The Alabama Golf Assoc. (1915).