Cliff Robertson and Dina Merrill were married at the time of the episode. When Robertson agreed to reprise his role as Shame, he asked Producers to cast his wife in the episode as well.
Barry Dennen's Fred is depicted as a Mexican bandit who speaks with a perfect upper crust British accent, his given name 'Fernando Ricardo Enrique Domingues,' or 'Fred' for short.
Jerry Mathers (of Leave It to Beaver (1957) fame) played the uncredited role of Pop, the stage doorman, in this episode.
The Chief's name is a play on words. as in to Stand Pat: to play one's hand as dealt in draw poker without drawing.
Shame says the line "now heres our plan" out of camera range, and has to repeat it again, when he is on camera.