Try not to read too much into someone looking at you. This is pretty silly coming from me, since I do it all the time, but it's easy to project your own thoughts and desires onto other people. Especially if you're feeling lonely and/or depressed.
That being said, I think you should talk to her and ask her out. It's hard as balls to do, but if you can, the worst she can do is say "no." That being said, the word "no" can be pretty frightening. *shrugs*