I Dream Of Jeannie: Then, Now, and Fun Facts About the Show
Behind Closed Doors?

Throughout the show, every time Jeannie and Tony are seen entering the bedroom together, even if she turned into pink smoke, Jeannie had to be shown leaving the room. That was all because of strict censorship rules. At the time, it was common for two twin beds to be shown in a bedroom and for a couple to never be seen sharing a bed, even if they were married.
Jeannie’s Evil Twin

Oddly enough, many fans of the show didn’t realize Barbara Eden was playing Jeannie’s evil sister and would often write to her asking who played the dark-haired actress. Her evil sister’s name was also Jeannie. How confusing was that at family reunions! Perhaps, this was just a sign of the innocence of the era, as now it is quite common for an actor to play multiple roles.