What a rough journey your mother had!
I had a longtime friend go to a Nursing Home, (I mentioned her last March in a Disneyland Covid thread, as she had a fun 1960's Disneyland connection!), but since she's not a family member I hesitate to name the facility she was in so people can determine what type of specific facility it was. Assisted Living? Hospice? Full Nursing? Or just a glorified bingo hall?
My cousin Shirley who died a few months ago was in a Nursing Home for about 7 months before she passed, and since I was a key caretaker during her final year I am happy to tell you she was in the Sunland Home down in Carlsbad, California. It's affiliated with a church that Shirley was a member of. It's website just calls it "Nursing Care". It had medical staff, and religious staff on duty at all times.
Looking at that Sunland website more, Shirley was in the part of the facility designated as "Sheltered Care", and I remember the Sunland staff using that "Sheltered Care" phrasing now.
I just call 'em
Nursing Homes. But I realize things are far more complicated nowadays.