She will always be best known for playing Jeannie, of course, but Eden has a lot more on her resume, including the 1981 NBC series Harper Valley PTA and this rarity, 1989's Brand New Life:
This series was part of the final network incarnation of the long-running Disney anthology series, this time called The Magical World of Disney. You may detect some similarities to a certain iconic sitcom here. It only had 5 episodes after a movie pilot that did well, but it's an interesting cast. Note the preview at the beginning of this clip showcasing a pushing-60 Eden wearing nothing but a bath towel.
By the way, Wikipedia notes that the singer of the theme is Jill Colucci, who performed several ABC marketing songs in the era and also belted the "America, this is you" theme from America's Funniest Home Videos.