The house I was renting we started renting to own when mom moved in w me. It's in both our names. What happens if she goes to a facility?

I think that it would be impossible to know, as we cannot see the contract on your "rent to own" house. The wording will be important, I would think. I would save this question on a list of important questions you have involving Mom and your care situation, and would see an elder law attorney. It would be irresponsible for us to guess, and then possibly be wrong, and have led you "up the garden path". I hope there is someone on the forum familiar with real estate law who might give you a better answer.