Sometimes family members read more into their parent's condition then there actually is. Believe me I empathize with you and even though I spent years in the medical field I couldn't separate myself from the way I felt about Mom's care. I was sure I was seeing her do more and respond more then she actually was.
She may be responsive but it may not be in a way that is really going to be helpful to her condition. I have seen people with fantastic insurance being kept in the stroke
units and they don't get any better any faster then those who have no insurance. I'm sorry and it may be hard to admit, but she may just need to go to the nursing home now.