Robersonville, incorporated in 1872, is a town in Martin County, North Carolina, United States. The population was 1,269 at the 2020 censu…Robersonville, incorporated in 1872, is a town in Martin County, North Carolina, United States. The population was 1,269 at the 2020 census, down from 1,488 in 2010. Robersonville is located in North Carolina's Inner Banks region. It is home to the East Carolina Motor Speedway.