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I bet these people recommending to evict a tenant and start over have never been a landlord.
I would check that she was paying the rent on time with the previous landlord. I can't blame her for not paying it recently while the house is in forclosure. I would then ask her if everything is OK with the house. You should do a new lease and a walk thru of the property looking at the condition. You don't need to analyse this to death. If it was in forclosure and she has continued to keep it in the same condition, then keep her.
Paying money to evict her if she doesn't want to go, redoing the house to ready it for a new tenant, advertising a rental in THIS MARKET, paying money to a realtor to find you a new tenant, etc. THAT IS JUST NUTS!
I would have never done that to my tenants and my rentals were always my previous house so they were nice houses.