This tumbler is a terrific find! It's from Hotel Gayoso which was located in Memphis, TN. The 4 inch tall glass features the eagle shield of the hotel on the side with Hotel Gayoso below in white pyro. The same shield can be seen on the postcard here:
http://www.restaurantwarecollectors.com/forums/showthread.php?t=8478
The glass is in excellent condition with just some slight wear. Extremely hard to find so don't miss this one. Great collectible from Memphis.