Lorelai Victoria Gilmore is the only daughter of the wealthy Richard and Emily Gilmore. Lorelai is the single mother of Lorelai "Rory" Leigh Gilmore after getting pregnant at 16 and refusing to marry Christopher Hayden, Rory's father.
Instead, Victoria choose to run away to the town of Stars Hollow where she ends up working at an Inn. Eventually Loreali and Sookie buy a run-down old inn called the Dragonfly Inn.
Lorelai dates Luke Danes towards the end of the series, but breaks up with him and even briefly marries Christopher. During the series finale it's presumed she gets back together with Luke.
(about Max knowing his way around the kitchen)
Rory: He has much knowledge.
Lorelai: We shall form a cult around him.
Rory: Build a statue many stories high.
Lorelai: We shall grow our hair long and stop bathing.
Luke: Me? Raising a kid? I don't even like kids. They're always sticky like they've got jam on their hands. Even if there's no jam in the house, somehow, they've always got jam on their hands! I'm not the right guy to deal with that. I have no patience for jam hands!
Lorelai: First of all, Jess is 17 so I think he's probably pass the jam hands stage by now. Second of all, you can do this. If you want to you are totally capable.