Shawboro is an unincorporated community located in Currituck County, North Carolina, United States. The area takes its name from Henry Marchmore Shaw. The post office is located close to the intersection of Shawboro Road and North Indian Town Road. The ZIP Code is 27973. The Shawboro area is covered by three different telephone exchange…Shawboro is an unincorporated community located in Currituck County, North Carolina, United States. The area takes its name from Henry Marchmore Shaw. The post office is located close to the intersection of Shawboro Road and North Indian Town Road. The ZIP Code is 27973. The Shawboro area is covered by three different telephone exchanges: Elizabeth City, Moyock, and Shiloh.