Emily Gilmore is Lorelai's mother and therefore Rory's grandmother.  Emily had a limited relationship with her daughter as an adult, until they began to bond again with Rory needing money to get into Chilton Prep.

Emily was raises with a strict social code, attended Smith College, and is extremely wealthy.  As a result she is constantly disapproving of her daughter's choices.

Although she's happily married to Richard for most of the series, they have a separation during season five and end up back together.

Emily Gilmore Quotes

Emily: (about Lorelai's shade of lipstick) That's a pretty color. What's it called?
Lorelai: "Vicious Trollop."
Emily: Now why do you say things like that? (Lorelai shows her the lipstick tube). Now why would you name a lipstick that?
Lorelai: Because "Dirty Whore" was taken.

Emily: (about the man that Lorelai got pregnant with at 16) Your father would have gotten him a job with his insurance business, and you two would be living a lovely life right now.
Lorelai: Christopher didn't want to be in the insurance business, and I am living a lovely life right now.
Emily: Oh yeah, far away from us.
Lorelai: Oh, here we go again.
Emily: You took that girl and completely shut us out of your life!
Lorelai: You wanted to control me.
Emily: You were still a child!
Lorelai: No, I stopped being a child the minute the strip turned pink, okay? I had to figure out a way to live. I found a good job.
Emily: As a maid! With all your brains and talent!
Lorelai: I worked my way up. I run the place now!

Gilmore Girls Quotes

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.

Lorelai: Rory, I love you. I would take a bullet for you. But I'd rather stick something sharp in my ear than go to the club with you.
Rory: Fine.
Lorelai: I'd rather slide down a banister of razor blades and land in a pool of alcohol than go to the club with you.
Rory: I got it.
Lorelai: Don't stop me, I'm on a roll. I'd rather eat my own hand than go to the club with you. Ooh, I'd rather get my face surgically altered to look like that lunatic rich lady with the lion head than go to the club with you.
Rory: Would you like me to drive so you can continue your diatribe?
Lorelai: Would ya? Thanks. I'd rather cut off my head and use it as a punch bowl than go to the club with you.