It seems like a nasty girl to deal with. It must gives you a lot of trouble. Who should do something about it is her...she should move to another place. The not cleaning, taking everything personally, get things dirty and fighting about the most little thing seems like my brother (except the part of talking about boys...but I have to hear everything he as to say about computer programs and games). It's nothing similar to your case, because I know him from years. I have a lot of patient with him. His bedroom is his place...we clean the other house divisions. I tried to talk to him peacefully over and over, but I'm pretty sure he has an hearing problem. The only way I see him change is getting alone without her sisters to done things for him. Every time he wash the dishes two times a week, he has an argument for not helping with anything else the rest of the week.
I think that you can do many things to change this girls behaviour. I would sujest for you to try to avoid her the most you can and to not fight back her arguments. If she feels that she is not welcome you have a great chance for her considering to moving. Hope I helped somehow, I would hate to have a girl like that around.