What you should do:
Forget that you asked her to a dance, she didn't want to go, and you were hurt. Forget that. Or at least pretend that did not happen.
I think your problem is (as my Mother said) no relationship stands still, they go forward or they go backward.
So ask her out, again. Someplace like a walk, ironically, or wandering a mall, or sightseeing, or someplace you need to drive awhile to reach. Ask her why the two of you trailed off and stopped seeing each other, and if that was your fault. Don't argue with her!
Scenarios: (1) She blames you, (2) She blames herself, (3) She doesn't know.
(1) [Blames You] Apologize as needed. Then "I wanted to be more than friends, so if you feel the same, maybe you could tell me where I went wrong, so I could try again." That should get her to tell you either you are firmly in the friend zone, or you are not.
(2) [Blames Herself] "I wanted to be more than friends, maybe the timing was wrong. I still feel that way, I don't know if you do. Should I try again?"
(3) [Doesn't Know] Blame yourself. "I really wanted to be more than friends, and I think I just did not know the right next move. I didn't want to make a mistake, and that turned out to be a huge mistake. What should I have done? Can I try this again?"
Again, accept and agree with her answer, even if it is "I don't really want to be more than friends."
"Okay, friend, at least I understand now. I've heard this place we are going prepares an excellent crow, I'm ordering that."