I'm looking for a story!

I read it a couple of years ago and basically here's the gist of it:

Bella went grocery shopping and while shopping she met Esme who asked her to come over and babysit Alice who is maybe 4-5 years old. Edward, Alice's brother, is kinda a jerk but Bella has a crush on him. But Bella agrees to do it and she has a great time babysitting Alice. Towards the end of the night, Edward comes home unaware that Bella is there and he teases her a bit by pushing her against the wall like he's about to kiss her. Anyway, towards the middle of the story they start dating and then there's this sub-plot with Eleazar who is Carlisle's twin brother and wants to take Alice's inheritance and he like attacks Edward and Edward ends up in a coma. At the time that he got attacked, Bella and Edward had broken up or gotten into a fight or something. But anyway that's all I can remember. If you know this story, please tell me the name cause I really want to read it again.

Thanks!