Post Office – Omagh, Fintona – Opening Hours & Branch Details Post Office sits at 1-2 Tattymoyle Road, about a 7.04 mile drive south from the centre of Omagh (not far from Fintona Golf Club). The branch is glad to provide service to patrons within the districts of Fintona, Feenan, Edenasop East, Lisdergan, Lisnabulrevey, Racrane, Lisagardy and Ecclesville Demesne. Doors are open here today (Friday) from 7:00 am to 10:00 pm, for those who’d like to drop by. Please review this page for the specifics on Post Office Omagh, Fintona, including the working hours, location description, direct telephone and more information.