Can an electriac company tell you it cannot give you power because somebody who owes them a debt lives with you?

The Georgia Public Service Commission should be able to help you. As to the matter concerning electric companies, generally speaking a utitlity company cannot deny you power if someone living with you owes a debt unless that person is related. Think about husbands and wives or parents and children. Transferring names to someone else who is related is considered fraudulent and a way to avoid payment.