I agree with what jensasweetie said. I dont want to be harsh either, but you have to understand your girlfriend's point of view as well. She didn't lie to you about sleeping over. She probably really wanted to, but got upset when her mom was asking for details. That's understandable. She is under a lot of pressure by lying to her parents all the time to be with you, and you really need to be gentle with her and appreciate what she is going through for you. Furthermore, if you keep doing things like throwing picture frames (that she gave you for a special occasion so it probably meant a lot to her), she will get scared and maybe even leave you, or at the very least feel like the things she does for you aren't appreciated. You should try looking into therapy to deal with what is going on right now, especially your anger issues. If you dont have the money to do so, there are plenty of posts on here that talk about sliding scale payment systems. If you want to save your relationship, you need to start making changes now before you push her away.

Best wishes,
Ro