If my mom goes into a nursing home, can I legally still live in her house? I am willed the house and have POA. I have lived with her for 2 years

we gave up our home to move in with her so I could provide 24/hr care. I am trying to prepare for the future. I was told by someone to add my name to her house deed, but I feel that in moms stage of dementia it would look as though I am taking advantage of her. I have siblings that would jump at the chance to throw mom in a home and kick us out of the house so they could sell the house for their gain! What rights do I have? mom understands why I am are here and is fine with us living here.