I’m a little confused by your e-mail. It appears you’re dating a girl, but you don’t like when she doesn’t respond to your messages on Facebook, but other than that, everything is fine — except that lately you feel that her attitude is the opposite of her words.
My advice is to continue to date her, but if you don’t feel comfortable with her after a few more dates, then understand that there’s a dissonance and no matter how much hope you have, hope isn’t enough to make a relationship work. There has to be shared goals and a comfortability between you and a lot of fun, too! 😉 Dating is a great process that you need to use to get to know her. Don’t put the horse ahead of the cart. In other words, don’t pretend this is Ms. Right until you really get to know her better. 🙂