<human>: Condense the text into a few key points

I've seen some stupid AskReddits like this hit front page to embarrass the poster, I hope that won't happen.

I met a girl recently via a friend and facebook (lame so far? good, it gets worse) we've had a few interactions via the same method and she seems to know her memes and a reasonable degree of humor. She is very attractive and I'd like the opportunity to ask her out, the problem lies in that I've only met her once, briefly.

Which means that the only method I have of interacting with her (ugh) is facebook. How would you play it to give yourself the opportunity to further a possibility of a friend/relation-ship?
<bot>: Mutual friend on facebook is awesome girl, want to ask her out but don't have her number or balls enough to use facebook. Need to know how to handle it like a boss.