I'd start by asking her out to dinner. Not the movies because you guys can't talk or get to know each other that way. You should only want to go to the movies if you guys were in the stage of making out, lol.
I will say it looks like you're getting somewhere with her. She doesn't seem to be blowing you off or telling you to go away so that is good. Honestly, just ask her out. If she let you walk her home, than that is a hint that she likes you.
Uh.....It was horrible. Anyone been subjected to this nightmare before?
Okay. It's about guys who want to be women and make out and it really creeped me out.