Rector is a city in southeastern Clay County, Arkansas, United States. The population was 1,977 at the 2010 census. Rector is named after Gov…Rector is a city in southeastern Clay County, Arkansas, United States. The population was 1,977 at the 2010 census. Rector is named after Governor Henry Massey Rector. In 1881 the Texas and St. Louis Railroad laid out the town of Rector about 2 miles to the south of an existing settlement named Scatterville, and the population of Scatterville gradually migrated to the new town.