UPDATED: A bit of help needed on potentially asking a girl out or to go somewhere for her birthday

I would avoid suggesting doing something special for her b-day right away. That'd be kinda weird. You've just met, so you should just ask her out for this friday or something. Talk to her then, and ask what she's planning to do.

Ask first what her plans are for her birthday (preferably without being obvious :P).

I'm going for a beer later. do you want to join me?

the trick is not to rehearse, cause than you'll forgot your lines ;)

first things first: NEVER expect NOTHING from NO ONE. you only get deception when you expect anything from someone else.
go to her considering that she might not want any kinda relationship (even friendship).
if she wants anything, lucky you. if she doesn't, you already antecipated it...
this tip will help you act cool, with no pushing, bad acceptance, deception or anything inconvenient like that.
once you been thru the very basics, just go foward and do what you want to do in your own style. :)

Just do it! She's new - you have large preference. But I think she will celebrate her BD with family so try to catch her on the evening and show best place in town like a present.

Only piece of advice I can give is that if I make another post in this thread with an advice of any kind you should do the exact opposite. Sorry.

+1 Everything that everyone has said already.

But if she's talking to you already and chatting with you, not necessarily a bad thing. :)
Just be natural and ask her to hangout with you sometime so you can show her around....
Worst case scenario, she says no.
Best case scenario, she says yes.
Greatest Scenario, she likes you :)

Just remember, be natural. Otherwise it's a deception in the long run.

You could invite her to some event that's going on around your area, and at the same time take the opportunity to show her around. It's worth a shot if you're interested, rather than regretting it afterwards

As keohookalani said, be natural, don't pose, don't fake to impress. If you want a real beautiful friendship/relationship you must show exactly what you are, otherwise it will come back to haunt you. Don't rush it. With great things you must have patience. Don't try to do something special before having a relationship of any kind, it's awkward. And also be positive, treat every no as new opportunity for a yes somewhere else. Now I start to sound like a mom :). Good luck!

Whitelist her

http://www.snotr.com/video/2166/Best_pickup_line_ever

Kinda missed your best shot when she said she doesn't know anyone there. Could have offered her a tour of the town ^^

Simple, just be your self and ask her out nicely as a friend and get to know her. Then just move forward from there.

And please for the love of all things holy, don't rush anything or try to do anything special for her birthday or anything. She is (at the most) an acquaintance. Doing stuff like that will come off as creepy ( and frankly speaking it is ).

You said she is new right? So take her around and help her get used to the place or something. Become a friend first, so even if things don't work out as a relationship, you still get a friend out of it ( which you can never have enough of ). Someone new to place would be more interested in friends before jumping into any relationship anyway.

Cheers and good luck!

"Hey, would you like to get a coffee?"

Well, the first and most important part of attracting a female is body language. You must caper up to the female, all while elevating your tail and slightly curving your neck. This confident body language clearly expresses your mating preparedness. To seal the deal and make extra sure she realizes what you want, you can also make neighing sounds and thump your legs onto the ground.

Sorry no real advice. I'm 16 and have never dated :p

use this gif, it never fails (at least for me :3 )

View attached image.

Have a friend kidnap her and then save her right before he murders her. Use a real gun for the best effect. After that, asking her out is like a walk in the park.

Just ask her on a date. Avoid her birthday in any possible way, she will probably have other plans if not, you two sill don't know each other that well. Also, no city tours... you want to be her boyfriend, not helping hand when she needs something. State your true intentions as soon as possible, and get on with a life in one or other way. This is because girls tend to think you want to be friend with them. You can ask her on date to some nice spot in your town as romantic gesture....

Just don't stall and good luck....

10/10 she has a boyfriend.

I once met a girl who "just moved from X" and I asked her out next day for a coffee, she said " sorry, you're really sweet but I have a bf". FFS I fucking hate girls that makes a BF the second they get alone. I lost all my interest in her after that anyway but if you NEED a BF then I certainly have no interest in you.

If you're %100 sure that she has no BF; make her invite you to her b-day. Make yourself look resourceful and useful, tell her that you could buy alcohol with her if she needs someone over 21 to make the purchase. Small talk with her whenever you drop by, "Hey how you doing ? Do you need any help with anything ?" gets you a lot of points.

Worst thing you can do, which every amateur does, rush things. "HI I JUST MET YOU AND THIS IS CRAZY SO HERE'S MY NUMBER CALL ME ON YOUR BIRTHDAY TO GO SOMEWHERE TOGETHER AND DO SOMETHING." is literally the worst. She'll celebrate it with her family, just try to get an invite. If you meet her family, they all will say nice things about you to her. Unless you're a giant douchebag, every family likes young boys that shows interest in their daughter.

TL;DR, get her number (on 3rd seeing-each-other, not first or second that's a rule), make her invite you to b-day, be helpful and resourceful, be a nice gentleman near her family. Aaaaand you'll be the first mistake of her on her new life.

seems you have been so single lately but i'll tell you something [yep i'm 18 and i thing im old enough to help out]
you just met her and you're going to ASK her, this might be too early for that, i guess

There has already been some good advice given, but specific prompting would really depend upon what your intentions are and how serious you want the relationship to get. Getting to know someone for a long-term relationship is different than "getting a date." If you really think that this is a person you want to know for the next 20 years, then what you need are some guidelines, not tips.

1. THERE'S NO HURRY. Your focus is on getting to know the person, not "a date." Dates will happen naturally without being forced. Keep in mind how you behave when you're making friends with a non-romantic interest to determine what is "normal" for you. There's no hurry. You can expect to see him or her, again. (e.g. Having a pleasant chat is as good as a date if you remember what you learn about her.)

2. START SMALL. If you do "go out," it should be casual. Start small, and that will gradually lead to more involved dates. The purpose of a date is to spend time together so you can learn who the other person is. It is not some kind of do-or-die test to determine if you will ever get married. (e.g. Getting a cup of coffee, sitting together in the cafeteria, or just walking to class together can all be considered "dates.")

3. DON'T FREAK. She has already said "Yes" to you, more than once. If she stops to talk to you, if she smiles when she sees you, if she keeps turning up in your location, she is giving you signs that she is interested in finding out more about you. There is no need to "push it" by being overly aggressive or pretending to be something you are not. She is already expressing interest in you as you really are. Keep providing opportunities for her to say "Yes." If she has to turn you down once in a while, try to have at least one alternative ready so she can say "Yes" to that, instead.

4. BE A MAN. You are not a puppy dog following her around, nor are you her girlfriend who shares everything with her. You are a man, so act like one. If you haven't yet mastered the balance between being independent and being friendly, think of this internal monologue. "I'm going this way. If you'd like to come along, I would really enjoy your company because I like the person you are. If you'd rather not, however, that's OK, too. I am confident and happy enough with myself that I will be just fine pursuing my path without you. Should you change your mind, you can always find me here."

5. KNOW WHAT LOVE IS. Your heart pounds, your hands sweat, your head spins, and you lose your ability to speak coherently. Yes, this is all exciting stuff, but it isn't love. It is infatuation, and it will wear off, sooner or later. Love is something completely different. Love is a calm feeling that is much stronger and more difficult to come by. Love is based upon knowledge of a person, warts and all, while still caring for, appreciating, and respecting the good qualities within. When you reach a point where you know someone and respect him or her, you make a decision (consciously or otherwise) to love that person. After that, it is a matter of nurturing that love or letting it wither and die.

Be cool and honest. Something like - Hey, I know it is your B-day this friday, and I kinda figure that you hardly know anybody here. Would be a shame not to celebrate, I mean, it is not everyday you turn 21 is it? So, if you are interested, we can hang out together? Good luck dude.