I was going to say that you are living with an ODD person, but I see that Thunder Bow has already covered that ground.

She very likely does have a diagnosable PD. I don't know enough about PDs to say. Probably someone else will be able to give you a better answer.

I rented a room from someone once, and they had a few of the traits that you have listed, but not all of them, dear God!

I have met people before who do the hearing things then presenting them as their own idea. It's extremely odd. I was never sure if they had a bad memory or just why they would do that.

Moving sounds like the best idea.