As the two posts indicate, something IS going on and since the PoCo has issued an opinion (that you're stealing power), you will likely need to go through the standard steps to resolve any mystery, administrative or functional, that remains.
Contact the utility company and ask for the business office supervisor and resolve it above board - i.e., pay the bill or request the service be connected properly and ensure that they have the correct billing information for you (or whomever the mostly unoccupied home belongs to). If the power is to be restored safely it sounds like the company is going to have to be assured that the bills will be paid to their satisfaction. If they have been paid and there's no justification for a disruption in service, you'll probably be on the hook for proving it through your cancelled checks or money order receipts and the follow up documentation resulting from their cashing or depositing them.
