I think she want to go home. She misses her home. That's just natural. However, I don't think she misses the M. Quite a difference for a woman.
That is where you need to hold the boundary tight and do not allow her back in the house until she's ready and more than willing to be a W in every sense of the word. As long as OM is in her mind, she won't want to be committed to you.
It's important to keep the two differences in mind and don't let her sweet talk you into moving back home and "then" working on the R. That's a trap.
There will be more than plenty to work through after R,but things need to be done properly and in order. First step....getting rid of OM and being transparent. If she balks about transparency, she's not rid of OM (emotionally).
It is not about what you feel should work in your M. It is about doing the work that gets the right results. Do what works!
