Well I figure it this way and you can decide to play hard ball or soft pitch.
Your in the house, she has left. BUT, I think you tell her that MIL mentioned it, and that she is more then welcome to stay at the house, then set some boundaries.
I look at it like two sitautions, living arrangements vs. coming home. Affection and sex. You can't have one without the other, might just be the jump start you need. So give her, her living arrangements, and eventually she might just call it home.
Sure sounds fishy on MIL's part, are you sure this women doesn't like you. I mean I know visiting relatives take priority on beds and such, but it's not like there are other options, hotel, extended stay, friend, OM, apartment, buy a place. Why is MIL telling you, no way cause W can't muster it. Too weird, sounds a little like a back door play by MIL.
