Barbara was pregnant but hid behind veils, grocery bags or whatever was available. Although Barbara was clearly not pregnant in the The Lady in the Bottle (1965), this episode didn't air until about 9 months after that.
Jeannie causes Roger to simply forget the bizarre incident he saw; but if Jeannie had the power to make people forget things, then most of the episodes of the series would be pointless, as perhaps the majority of episodes involve them trying to make-excuses-for and cover-up such fiascoes.
This is the first time a staircase exists inside the house. In the pilot there was a solid wall instead.
Princess Fatima drawls, "Peel me a grape". That ultimate expression of indolence comes from the Mae West classic I'm No Angel (1933).
Florence is introduced as Jeannie's mother, but in future episodes Barbara is aged with makeup and portrays her own mother.