I know that a family member can be paid to be a caregiver or home health aide in California but I would imagine it would depend on whether she would otherwise qualify for skilled nursing and who pays for her medical care. The state is really tightening up it's payment for skilled nursing hours these days.
I believe the state contracts with agencies rather than paying licensed nurses directly for both case management and in-home skilled nursing hours.
You can find out more here: In-Home Supportive Services
and through the BVNPT.