List of Stevie’s known celebrity boyfriends: Jimmy Iovine, J.D. Souther, Lindsey Buckingham, Joe Walsh, Don Henley (1976-78), Waddy Wachtel, Rupert Hine, Paul Fishkin, Mick Fleetwood.
And I think that Tom Petty and Glenn Frey figure among the crowd, but they were married to other women at the time.
In minute :29 of this YouTube video from 1977, Stevie shows off a necklace given to her by then-boyfriend Don Henley —
http://www.youtube.com/watch?v=07pUz61ksa0&feature=related