Mother living with me me past 4 months. Wants to move out because she thinks my son is stealing from her. Not the case. It's the dementia paranoia. But she's not capable of going back to an apartment by herself. Won't even take a shower anymore! Have someone coming out to do an assessment but I'm pretty sure she'll put up a front.
I think you should be looking to get her placed in a Nursing home. Her Condition is only going to get worse, you should be working on getting this settled now while Mom is determined to move out...take advantage of it.
Just as an aside, if Mom wants to move out, accommodate her. Start looking for facilities and apply for Medicaid if you need to.