brenda - I know exactly how your neighbour feels. The first Care Home my Mum was in were always on the phone to me, 'she has done this, she has done that' and also when I visited, I was pulled into the office, and told various things. A bit like being called into the head teacher's office.
There were not enough staff to deal with the situation, so they turn to the family to come up with a solution.
I eventually moved my Mum to another Care Home, as she was also being physically abused.
Your neighbour is paying a pretty penny for her Mum's care and welfare, so I would put the ball back in their court, and ask what they would like your neighbour to actually do to resolve her Mum's boredom. Put the ball back in their court.