The show has remained on the air uninterrupted since then, though Eden earns not a penny from it.

Now Eden has written Jeannie Out Of The Bottle, a memoir recounting her familial and professional relationships, including friendships with Elvis Presley and meeting Marilyn Monroe. And in interviews with Popeater and Vanity Fair, the iconic beauty reveals her upbeat nature (She won Miss Congeniality in a Miss California pageant), her deep sorrow over her only child's death and her abiding affection for Hagman, who reportedly could be a beast on the TV set.

"I'll tell you he was interesting,'' Eden tells PopEater. "He kept things alive let's put it that way. I think Larry was going through a very difficult time in his life. I'm no psychiatrist; he's wonderful, thoughtful and loving. He truly is but he's also a perfectionist and he wants things to be just right from his point of view and it frustrated him horribly that the scripts weren't what he would do. The way he wanted that carried over in his relationship with the crew, never with me though."

Nevertheless, Eden tells VF that she and Hagman "have a connection. I have never worked with anyone else ever whose rhythm was the same as mine. We had something that was intangible."

But, no, she didn't sleep with him. But the same VF interviewer who elicits that information from her takes her to task for turning "down way too much A-list wood," -- apparently she was hit on by Tom Jones, Jack Kennedy, Johnny Carson, and Elvis Presley -- Eden reveals her innate self-confidence when she responds, "I never felt that they looked at me as a person. Plus, I was married." (Girls, take note!)

But even though she didn't succumb to his charms, Eden coos over Elvis: "He was a delight, a lovely guy. He was very well bred by his mother who had taught him manners. I'd walk on the set and he'd stand up immediately and pull a chair out for me. We laughed and flirted but it was tame, it was sweet. Years later I was with my second husband and we saw him in Vegas and Elvis said to him, 'How did you ever get with her? I tried!'

Eden's career has been overshadowed by Jeannie but she says she's fine with that. "She's very, very easy to live with,'' Eden says PopEater. "I like her a lot. I'm so lucky and so appreciative. I have never had a rude fan. They're all very mannerly, as my mother would say, and good, they're nice people."