I found a girl - there is a god! Or not?

EDIT: Skip to the bottom of this post if you think it's too long, I tried to sum it up in my last paragraph.

Don't try to change someone. Ever. And don't let anyone ever try to change you.

The last THREE on your list make me more worried than her going through boyfriends like cake (even though most people I know don't really eat cake all that fast.) What do you mean by "a bit immature" exactly? Divorced parents are all the rage nowadays, eighty percent of all the girls I've ever known have had divorced parents, but it can still cause problems. And what do you mean by "troubled family" ...?

My advice would be to try not to dig yourself in too deep. Don't be like "hay i'm in a relationshit with you now, i will luv u for teh evars, also marry you" ... just take it as it comes, man. The biggest mistake people make in relationships is (correct me if I'm wrong on this) that you begin to EXPECT things and therefore take things for granted, and that causes a downward spiral from day one.

Instead of thinking of it like "wow she's so much fun but I dunno what she's gonna do to me, what if she breaks up with me" take control of your own life and think of it from this frame of reference: "I'm enjoying my life and look, hey, here's an attractive girl who wants to spend time with me. Okay, seems like we'd both enjoy each other's company, you can come along with me. If you leave, that's your problem, not mine, cause I was enjoying my life before you came along and I'll enjoy it after."

Do not focus or center your life around her. I don't mean be cold and distant, but don't er... well the classic way of saying it is "put the pussy on a pedestal." Women are to be respected, but if you worship them you're bound to be cast aside eventually.

Main point, in case you don't want to read all that: Show that you have your own life to live, and if it's interesting enough to her, she'll stay with you. Don't worry yourself over whether she'll stay with you or not, just be someone she'll want to stay with.

Jam it back in, in the dark.

Keep in mind that while you need to not jump in headfirst emotionally, you also cannot come across as timid or hesitant when it comes to anything, be it physicality or anything else. As Sass said, just cuddling and sleeping together with NO BASES BROKEN only encourages cuddle-buddying. Take control, and at least kiss her. And if she seems to like it, tease her with it, don't just make out with her til she gets tired of it. She'll want more if you don't make it accessible to her every time she wants it. Two steps forward, one step back.

There's nowhere I can't reach.

I... can actually relate a little bit more after reading that, rocketdog. And you're in a slightly tough situation - you've used your charm to "win her over" like you did with the other girls, except you've invested more of yourself in this particular relationship because it's the first time you've felt truly free to, since your ex.

In my mind, there would be a couple good ways to approach this. One is to simply show her, without trying to prove to her, that you are in control and you know you're worth her time. Don't fall into the trap of seeking approval from her, or giving her approval when she seems to be seeking it.
The other option, which is easily combined with the first, is to tell her, "Look, we know neither of us needs the other. That's a really, really good thing. We're two complete people, we don't complete each other. We enhance the experience for each other, but we won't be crippled if one of us leaves. This is worth spending time on. Reputations aside, we got something different here, so let's enjoy it while we can."

This thing is sticky, and I don't like it. I don't appreciate it.

Ooh. Yeah. I know you know exactly what went wrong... girls like that aren't that easily tamed my friend.

Well, all I can say is, do what you were doing. Make her want you to be with her. I won't reiterate how, since everyone has already said it in this thread. Heck, go out and have some fun with some other girls, too - yes, I'm saying you should just go find another girl or three. It's fun, trust me.

I am a dolphin, do you want me on your body?

I'd agree. I was reading an interview about dating, I forget with whom, but the man being interviewed said that "guys tend to rush into things, they have their sights set on some goal way out here, and so they kind of stumble over the things that should come first, which potentially ruins it for them. The biggest thing is to take it one step at a time - from establishing contact with a woman, to meeting her, to getting her phone number, to going on a date, to cuddling, to the first kiss, to making out..." and goes on to name a few more things that have to do with physicality that I won't mention specifically.

The way he describes it is as bridges. Suppose you're on an island, each island connected by a bridge to the other, forming a long chain. Suppose each island has on it an item of some sort that will allow you to cross the bridge connected to it. To get to the last island, which is where you want to be, you have to concentrate on getting to the one just in front of you, and then the one after that once you've succeeded in crossing that particular bridge.

Sure you can sometimes go from "establish contact with a woman" to "kissing" if she's just that ready for it... but more often than not, you have to take at least a couple other steps first.

I was speaking idiomatically.