Ignoring her wont work, here's why:
She's in your head big time, as you've posted to this board. Her responses affect you in a major way, as the little things you've done and how she's reacted stays in your head.
And you're obviously in her head big time since she feels the need to bring you into the conversation, even when you're not part of the conversation, just to give you attention, hoping that you'll give her some sort of reaction.
Fact is, she wants your attention because she does think you're hot, and prolly wants to bang you. You were probably too nice to ask her out one on one... maybe inviting her to go to a bar with some of her friends and some of your friends is the key... Dance with her, get close, she may let her friends leave and you can take it from there... You'll find out what her intentions are pretty quick.
But you'll find out nothing by trying to get her pissed off by being a smart ass, the same way that she's not gaining ground on YOU by HER being a smart ass.
My advice - invite her out with some friends - not a DATE, just for some drinks - see what happens.