FLIRTATION: She laughed. That's always a good sign. It's important to be funny, so say something clever. Something not too hard to follow; you want her to laugh, but if you tell a joke and she doesn't get it or doesn't think it's funny then there'll be one of those horrible awkward moments. So say something light, and not too sarcastic.
She's smiling now, so smile back. Look into her eyes, but don't look too long. Eye contact is good, but don't overdo it. Look for a few seconds, and then look away. Keep smiling, but try not to look like an idiot. Don't smile too much. Focus on what she's saying, lean towards her, show her you're interested. Keep your mouth shut and don't talk over her. Don't let her think that you're just waiting for her to stop talking so that you can start talking again.
She sure is looking cute today. Wait, eye contact, remember? Keep your eyes on hers. And don't forget to listen, act interested. If you can learn a few things about her, then you'll have an easier time saying funny, clever things later. Don't try to be too funny though, no one likes the class clown.
Ok, she stopped talking and she's looking at you now. She's fiddling with her hands on top of her lap, toying with her skirt. Maybe she's a little nervous too, although you can't imagine why. Say something serious. No, not politics, that's too serious. It's too late to tell her how beautiful she looks today, that would just make the conversation stall. Quick, think of something! No, not the weather!
Good, that made her think a little. She's pushing a few strands of hair away from her face and behind her ear. Her eyes glance up to meet yours and then dart off to the corner of the room. What is she thinking? What a fascinating creature she is, it's hard to believe you're actually having a conversation. You've said hi to each other many times, and even made her laugh, but now you're making her think. Good work, she's certain to talk to you again now, as long as you can get away without saying anything stupid.
She's nodding now and looking at you. Did she say something? You must have missed it. You nod back and agree. Laugh a little. No wait, don't laugh, it makes you sound nervous. Say something sensitive, something that will make her think you're deep. Maybe something a little unusual. You're not like all the other guys. You're someone she should want to know, someone she should want to be around -- so say something unusual, but not too strange. Don't make it sound like you're bragging. Just say something that will make her remember the conversation.
Now make another little joke and get ready to leave. Everything went well, it's time to get out before there's one of those awkward pauses. A little more humor, and then tell her you'll talk to her more later. She's smiling again and pushing her hair back. You stand up and she tilts her head to look up at you; meet her eyes again for a few seconds. Smile. You never want to turn away, but you have to... soon.... She laughs and blushes a little, and then looks down into her lap. She totally likes you, and you can't stop grinning.
Say bye and do something with your hand. You want to touch her, just a little, but don't. Next time you talk you can touch her shoulder or her arm, or maybe even her hand if you're feeling brave, but for now take this victory and walk away. Leave her wanting a little more, just like you do.