I'm quite confused about the things she has been telling you. She feels you are controlling her and not wanting her to leave the house. She thinks you would rather her stay at home where you know where she is. I would tell her in a non-confrontational (and brief) way that you are totally fine with her going out and having time for herself, with her friends, and also having some quality time with you. Tell her that you are not sure where she is getting that idea, but that it simply isn't true. I wouldn't go into it much more than that though, as she may try to drag you into an argument. Truth is, she would probably start feeling a lot better if she did get out of the house and start doing more things.
M: 8 yrs T:14 Twins:7 S:5 BD:'NLILWY': Feb/2013 Mar/Apr/May: MC June: "living in limbo" Sept 12: H moves out Oct 20: reconciling Jan-Feb 2014:MC Feb 2014: separating, and H moved out.