<human>: Ok, I'll try to be brief.

One of my (22M) mom's best friends from our hometown has a daughter (19F) who I think is gorgeous. I don't know her all that well, but we've talked a few times and she's been nice. I do, however, know her mom and brother (15m) very well. I saw her a couple weeks back and have wanted to ask her out for a while but I don't know how. From what info I have, and how little we see each other anyway, I think I have like 3 options:

1) She works at a restaurant close by, so I could maybe go to the restaurant and leave a note with my number, when I pay. But A) I don't know her schedule and I'm not going to just go in until she happens to be there too, and B) what if I'm not in her section?

2) I text her mom asking for her number and ask her out over the phone, either text or call.

3) We're friend on Facebook, I could just message her with something like "Hey _____, I was just wondering if you ever wanted to go out for coffee or lunch some day. I would have preferred to ask you this in person but that meant asking you while you were working which I didn't think would be fair to you. Here's my number, XXXXXXXXX, if you'd like to, but if not, no big."

My "play" that I normally did when I was in my dorms in college was writing a note similar to that one and sticking it under girls doors, and it worked well, but this is a bit different. I'm not exactly one to shotgun asking girls out, so I'm not great with *just doing it* and pulling the trigger.

Are any of those options good? Are there any options I'm missing? I would love some help from a women's perspective and what they'd appreciate.

Also, I'm a decent looking guy, pretty plain. She is beautiful though, some of my friends don't think she's all that great looking, but she does it for me.

Can you provide a brief rundown of the text in within 3 sentences?
<bot>: I want to ask out a family friend's daughter. I'm not great at asking women out, and this situation makes it a little more difficult than usual. Would love some insight.