I think badgered is a mild term. They need to be nagged and nagged constantly. It's unfair, because they have a heavy workload, but it seems to be the case that those who shout loudest get the most done.
I would go to the CAB to get advice and ask them to talk to Social Services. The whole financial thing will need to be sorted out especially if she is going into residential care.
Fortunately my brother had sorted out POA, just before my Mum collapsed and was admitted to hospital.