She and I have gone out twice, and she knows that I'm chasing her. This is not the first time that I noticed this - I went up to her today and asked whether she wanted to go see a show with me. She acted quite nervous. Her lips were shaking. Well, she agreed to go with me, but what is going on with her?
thats a good sign! that just means she likes you and she might be more of the shy type. I used to be pretty shy too, most people grow out of that. The only thing you have to do now is get to know her if you actually like her. Just know, that shy people take a little bit longer to come out of their shell, but if you've got the patience i bet you guys could really hit it off:)
It's time to ask her if you make her nervous and see if it's something you can resolve. ..that is unless you want her"lips shaking" everytime you ask her out. Good luck.