Bob Hope Presents the Chrysler Theatre S02 E11 Double Jeopardy

Fred Piper, a jet-setting private eye who takes on cases no one else can solve. Right now he's trying to find out what happened to a missing millionaire, a task made difficult by the millionaire's wife. For some reason, she doesn't want Piper to question her identical twin sister (note the title ""Double Jeopardy"").