Courthouses in Covington, Virginia, the US. Courthouses locations in Covington, Virginia. Find the nearest courthouses locations, near you. All types of business services Accounting ATM Bank Courthouse Finance Funeral home Insurance Real estate School Travel All courthouses in Covington Alleghany County Circuit Court Courthouse +1 540-965-1730 266 West Main Street, Covington, Virginia 24426 Write a review Phone Website Directions Court-Community Corrections Courthouse +1 540-965-0340 266 West Main Street, Covington, Virginia 24426 Write a review Phone Website Directions US Equipment Depot Courthouse +1 540-962-5602 Dolly Ann Drive, Covington, Virginia 24426 Write a review Phone Directions