How to get her to talk?

[john]

This girl I like and I have been put in the same group for a project in AP Government. I have liked her for a while, and I kind of think she likes me, but she never talks! She is the most quite girl at school. I know she has dated other guys so I know that I wouldn't be the first. We were in our groups for the project and no matter how much me and the other person talked about the project, she did not say a thing. I asked her a couple questions about it to try to get her to start talking, but she still was quite. I want to try just talking to her about other things rather than the work at hand. What are some good things to talk about to get a really really quite girl talking? She did put a picture of a piece of art work she did on Facebook on Monday, would it be okay to mention to her now, on Thursday, that I thought it was really good. ( It actually was really good!)