I Dream of Jeannie - Season 1 - Eps 3: Guess What Happened on the Way to the Moon?
Tony is on a survival mission with Roger when Jeannie seems to have followed him. Jeannie proceeds to help him in every way possible by giving him food, shelter, and finally transportation while Roger suffers in the hot, sweltering desert.
About I Dream of Jeannie

Title: I Dream of Jeannie
First Air Date: 1965-09-18
Last Air Date: 1970-05-26
Status: Ended
Rating: 7.8/10 (from 777 votes)
Language: EN
Seasons: 6
Total Episodes: 139
Network: NBC
Genres: Sci-Fi & Fantasy, Comedy, Family
Production Companies: Sidney Sheldon Productions, Screen Gems Television
Synopsis
While on a mission, American astronaut Captain Tony Nelson is forced to make an emergency landing that will forever change his life. On a deserted South Pacific island, Captain Nelson happens upon a bottle containing a beautiful two-thousand-year-old female genie named Jeannie. Rescuing her from the bottle nets Tony the requisite three wishes, and then some, when Jeannie pledges total devotion to her new "master".
Cast

Barbara Eden
Jeannie

Larry Hagman
Tony Nelson