This theater was built by a family named Dock. Their son, Robert, suggested the name Dox as a interesting way to spell "Dock's." I was a close friend of their now-deceased daughter, Dorothy, but that little tidbit is all I know of the theater's history. I'll see if I can get in touch with Robert (who must be pushing 90 if he's still alive) and find out more.
AKA Studio, Astro