I don't believe that Medicare does. Is your mother on Wellcare? They administer Medicaid in GA, and if your mother is eligible for in-home help such as a companion, a health aide, a personal care attendant, etc. they will see that the correct agency is billed.
If Mom is on Medicaid/Wellcare, talk to her case worker.
If she is not yet receiving Wellcare benefits, applying for that is probably the best place to start.
If you're asking whether Medicare would pay for home-health care ("a sitter") the answer is yes. The care must be provided by a person or agency that is accredited and contracted to receive Medicare payments.
If Mom is on Medicaid/Wellcare, talk to her case worker.
If she is not yet receiving Wellcare benefits, applying for that is probably the best place to start.