My brother and I are POA's for our parents. They have been in a nursing home for over a year. Our mom has Parkinson's with some memory loss. Dad also has memory issues. They need 24-7 care and while our Dad is happy, our Mom is continually being combative and threatening us with a lawyer since she wants to be home. After a lifetime of mental abuse from her, I am done with her and have only stayed around so my brother wouldn't have to deal with her by himself. I'm at the point I never want to see or hear her again, but would still like contact with my Dad.
Sounds like your Mom might have dementia. Please don't blame her for what she is saying because sadly her brain is not working correctly. The "home" she wants to go back to is probably her childhood home where she was happy as a child.
If you need to take a break perhaps the authority you have as your mothers POA allows you to hire a bookkeeper or CPA or some professional to handle her finances at your direction and supervision? At least for a year or so to see if it will help. Think of ways to lighten the load and not have to interact directly.