Sorry to learn of your situation. In my mother's case, she paid for her care but it was arranged through the local authority. It worked out cheaper than organizing the care (at home) ourselves.

Has your mother's tremour been diagnosed and treated? Having been assessed as having parkinsonian symptoms myself and now being assessed for essential tremor, I know that there is a range of medications that may help with tremour. It is not uncommon for people with a movement disorder to have memory issues. Has your mother seen a neurologist or movement disorder specialist?