Goldston is a town in Chatham County, North Carolina, United States, south of Pittsboro. The population was 268 at the 2010 census. Goldston is located in southern Chatham County. U.S. Route 421, a four-lane expressway, passes northeast of the town, with access from Exit 159. US 421 leads southeast 12 miles to Sanford and northwest 44 miles to G…Goldston is a town in Chatham County, North Carolina, United States, south of Pittsboro. The population was 268 at the 2010 census. Goldston is located in southern Chatham County. U.S. Route 421, a four-lane expressway, passes northeast of the town, with access from Exit 159. US 421 leads southeast 12 miles to Sanford and northwest 44 miles to Greensboro. Via rural roads it is 13 miles northeast from Goldston to Pittsboro, the Chatham County seat.