Idea reincarnated from awhile ago:

Girl feels misplaced in time so she goes to sleep one night and wakes up in the past. . . . where she meets her father as a teenager and he go nuts about her. (plot thickens) she has to avoid that but gets to know him on a completely different level. (this is why I abandoned it because it seems kind of Back-To-The-Future-y.) She meets a creepy old woman who knows all about her travels in time and how to get her back through some weird trance-psychic thing. Anyhow, she tells him not to look for her, as in not to search her out, to find someone else and fall in love, etc etc but she's definitely afraid of the grandfather paradox. She goes back. Story focuses on her father and meeting her mother and then when she's born he names her after herself (or in his mind, his long lost love) blah blah blah. How cheezy. I know.