Having dealt with something similar, and I don't mean to sound unfeeling....people can take a LONG time to die. Even people that LOOK like death already. I wish your mother to ease her suffering in the best way possible for you and her, just know people can/will hang on, even when they don't want to. That could affect your finances longer than you thought.
Being at home with help may feel just as impersonal/awful, but in a different way, to your mom. My grandma hated having a stranger in her house. And unlike the facility, her house prob isn't set up for not being able to walk, making everything harder.
A move can also be key for a big mental backstep. When my grandma started to lose it mentally, we moved her twice. Each move exacerbated her condition, in an obvious fashion. The stress, the change, etc.
I wish you and her the absolute best man. You are doing what good family does. Find some time to take care of yourself as well!