Dark Alleys and Other Love Stories by Incognito Burrito
Twilighted: http://twilighted.net/viewstory.php?sid=13444

FFnet Summary: Vampire Edward meets human Bella when she is being attacked in a dark alley. Things get ugly and Edward is forced to take her to his house to save her.Not all great love stories start once upon a time and far far away; Some begin down dark alleys.
That's the one where... : Edward saves Bella from an attack but then has to keep her because she knows what he is. Rose insists on calling her food. Bella's...strangely okay with being kidnapped. 
Vital Statistics: AU vamp.  ExB.  Rated M.