If your mother has no assets, she can apply for Medicaid. RhT could pay for nursing home care or possibly a waiver for home care. These have very limited hours available. Medicare does not pay for any home care.
Medicare does not pay for these services. Medicaid will pay for home caregivers (limited number of hours per week) in some states for indigent patients. Check out your state's Medicaid services.
Medicaid is what pays for long terms care. Is your mom indigent?