Are her parents strict meaning they don't want her dating anyone because she's too young, or is it a religious thing or something else? One of the traps you can fall into is always being attracted to girls who are unavailable. They have boyfriends, they live far away, they don't want to date, their parents are too strict etc. etc.. I think subconsciously it's a way of avoiding getting into a relationship while kind of feeling you're in one. Not saying that's you, just something to be aware of.
It's ok to be proud of yourself for overcoming this hurdle. It's a big step. What I would do is ask her to do things with you, starting at school or just after or before school, so that her parents aren't an issue. See if she'll eat lunch with you, study with you, pretend you need help in a subject she's good in (even if you don't need help), walk her home etc. Removing the parents from equation and if she's willing to spend time with you that's a good sign. At some point, you have to overcome the parent issue, but first things first.