Girl I'm dating, unusual attachment?

[Insight_Is_In_Sight]

I met a girl at a party a few weeks ago and she seemed really nice. She told me these interesting stories about her past and seemed intriguing. She was really quite drunk though, however she did manage to tell me she had a boyfriend so I didn't ask for her number.

However, she sent me a facebook message a few days later saying that she "unfortunately broke up with her boyfriend" after being together for over a year.
We then started dating and we went back to my house for the night after the first one. But then in days ahead it seemed that she didn't want to spend any time apart and seemed to be getting really attached. She'd stay at my place till as late as 3pm even after having met 2-3 times and she'd want to talk on the phone for hours even though I suggested we finish the call several times.

Sorry this is so long. A few days ago she went out with her friends for the night and said she'd call me after. That was fine, and she ended up coming at 3am and sleeping over. Weirdly though, she brought her toothbrush and toothpaste in her partying handbag as if she was planning on sleeping over.
Earlier today, after spending everyday together for the past week or so, she almost wouldn't let me leave. Her mood changed and she wouldn't tell me why, she looked like she was almost about to cry after I'd only said I was going home. She also always buys me food/drink and compliments me excessively to the point where it seems too much.
I was just wondering, is it just me, or does she seem almost obsessive or really attached?
If there is anything you'd like me to add I can edit my question, I'll be checking regularly.

[Rice]

she loves you. she just wants to be with you

[Alyssa]

She probably just doesn't remember what the beginning phases of a relationship are. She might still think like how she used to when she was super comfortable with her boyfriend of one year. Also, just don't be afraid to say you're busy when she asks to hang out or to come over. She might get offended but she has to understand that she's infringing on your privacy so early on in the relationship.