Franklinville is a town in Randolph County, North Carolina, United States. The population was 1,164 at the 2010 census. The Franklinville Histo…Franklinville is a town in Randolph County, North Carolina, United States. The population was 1,164 at the 2010 census. The Franklinville Historic District was added to the National Register of Historic Places in 1984.