It might sound awkward and a little crazy, but you can suggest having either her or your parent/s accompany you to the movies. Hell, get both sets to come along, they can have a coffee and a chat afterwards while you wander the mall or whatever, you know? Parents have a funny thing about being scared for their children (no matter what age they are, either
), so if your lady friend thinks they won't allow it, just put the suggestion forward and see if you have a better outcome. Failing that, you can always ask her to simply spend some time (alone) with you during lunch or any other free time at or after school, find somewhere nice to sit, just build a closer bond with her by talking and having fun. Good luck.