If my 71-year-old mother collects annual SS income that is less than $10,000, can I get paid to take care of her?

Is she on Medicaid? I'd check with them as there are some programs that can help. Not as much as there should be, but it's a start. But Medicaid is administered locally, so you'll have to check with social services or whomever administers her Medicaid. Maybe there is help for you there.
Carol