I'm in love
I know little enough about her
Not sure how to reconcile these two statements.
What I want to know is how I'm going to deal with this.
Talk to her.
I don't know how well something like that would be received.
Maybe not, but you can be reasonably certain that NOT talking to her will fail to result in you becoming involved with her. So...talk to her.
I saw her giving me a very big smile
Let me tell you a story.
Once upon a time there was a beautiful girl, who grew up in a society where it was expected that she be feminine, and let guys approach her. There was a boy she liked, but she'd spent an entire lifetime being told not to talk to strangers, not to go out alone after dark, and to stand around and wait for boys to ask her to dances and that it was improper for her to be the one to approach boys.
But she liked this one particular boy. So, she smiled at him in an attempt to get his attention and clearly communicate that she definitely had noticed him, and that she'd be receptive to him approaching her.
Unfortunately, the boy was too concerned about how she might react if he approached her, so he sat around and stressed about it, asked a bunch of people online who all said to talk to her. But he never overcame his fear, so he grew up to be lonely, alone and miserable, all while watching from the shadows, running and hiding every time a girl smiled at him, complaining constantly about how girls like guys who treat them badly, and how well he'd treat them if only they'd give him the chance. She grew up also lonely and alone until one day one of those "bad guys" actually had the balls to talk to her. Relieved to FINALLY have somebody approach her, she became his girlfriend, promptly got pregnant, then was abandoned. Overcome with grief, she gave her child up for adoption and threw herself off a bridge where she landed on a bunch of jagged rocks, shattering her legs and slowly died an agonizing death over several days, all while wishing that one boy she'd smiled at had simply spoken up.
The end.
Or you could just, you know, say hello next time you see her.