First of all - SHE'S NORMAL!!!!! :) That's the good news and it gets better!!! I too am a 30 year old single mom of three - two boys and a girl. I was married to their father, but we've been divorced for more than 5 years and he hasn't been in their lives regularly since we've divorced. In my experience of raising both boys and girls, I find boys to be MUCH easier to raise, thus far. The significant part between us is we both have teenagers - a completely different animal than your normal boy and girl!!
My son also exagerates things, I refer to him as the "Drama King". For example he has chores to do and one of them is washing dishes. He knows that washing the dishes consists of washing, rinsing, drying and putting them away. There have been instances when I've called him out on not doing the dishes properly (finding dirty silverware/glasses in the cupboards, not putting them away, etc..) and he has actually started crying, throwing his hands in the air, ringing his fingers through his hair etc...(a temper tantrum over putting the dishes away?) I have sent him to bed (timeout in toddler years) letting him cool down - note: no tv no internet no radio etc... Once he has cooled down and morphs back to a thirteen year old boy from a 2 year old toddler I'll take him aside and talk to him on a mature level and he steps right up to that mature level with me and we can have a civilized discussion about his actions and why the entire situation occurred and how we can prevent it from happening in the future. The upside is this is one point in their lives where you can reason with them - toddlers don't reason.lol So I would suggest trying to talk to her on a mature level AND setup for your Dad to spend time with her, and take her on "dates". He (and you too honestly)can teach her how a "lady" is supposed to be treated and hopefully she'll begin acting like a mature young lady. At the same time she is getting attention that she needs without the whole dramatic scene.
My son spends time with my Mom and that has a positive impact to his happiness. As I have referred many times earlier I think at this age they're much like toddlers - establishing their independence in their brand new very important teenage lives! They don't automatically know how to handle certain situations in their newfound social environment, it is something we must teach them. On top of that social change comes hormones - need I say more about that. Considering your daughter doesn't have a stable relationship with her father she may even be using such attention-getting behaviours to gain attention to fill that void. I think my son does these things to get attention from me - I'm a single mom of three who works a 50+ hour work week - I'm spread thin.
My daughter will be going through all of this soon enough for me and she doesn't have a stable relationship with her father either, but she does have some pretty awesome older brothers, an outstanding couple of Uncles and a Grandpa who's wrapped around her little finger. ;) Rest assured you still have time to help mold your child into the person you want her to be! (I tell myself that everyday!) Good luck - I hope I was helpful! Take care - D.