There were three good guesses of where the Wooden Indian lives but no one hit it on the head -- the Gaslight Theatre. The Indian is in the entry hallway - right across from Donald Duck the rocking horse! The current show is Space Wars and it is, as every show I have ever seen there, hilarious!
I'm a transplanted New Yorker who loves the Tucson climate. On New Year's Day I have a bit of fun calling my (snowbound) east coast friends to announce that I'm drinking coffee while sitting on my patio. (: