It seems that she likes you. I recommend one of the four options.
Option One: invite her for drinks at a quiet bar somewhere. Then you'll have an opportunity to talk to her, get to know her better, and build attraction for a possible relationship. But if you don't think you can hold a conversation a long time, this may not be the option for you.
Option Two: invite her to a place that has dancing, if you're comfortable doing it. This is more effective, since you'll be able to find out if she likes you from the way she dances with you. If she seems kind of stand-offish, then she simply likes you as a friend. If she presses against you or does anything like it, you've got it made; congratulations.
Option Three: invite her to go bowling, mini-golf, or pool (meaning billiards). This is similar to Option One, but the activity you're doing can fill up any awkward silences you two may have. Especially effective if you have trouble coming up with things to say.
Option Four: invite her to a movie. In this scenario, you don't have to talk at all, which is a bonus if you're not much of a talker. The method for finding out of she likes you is to try cuddling/snuggling with her. Start by putting your arm around her, but make it look natural (i.e. not the obvious "yawn and stretch"). If she does not resist or presses into you more, congratulations. If not, oh well, at least you know.
Best of luck.