Then you must ask yourself -- if she had told the truth would you have let her in?
This is a much more complex issue I think than you make it out to be. I can understand lieing about something like this. Being in a sorority might mean that much to her -- and in this case it might be a good thing.
However, if this is just one thing that she's not honest about among many other stupid things.. If there's one thing I can't stand it's people that lie about stupid things.
But I don't feel it should be so simple as someone who lies = bad person. Immature... insecure... maybe. But those things can be fixed isn't that part of the mission of GLO's?
I'm also not a parent.. nor do I have plans to be in the forseeable future...