Quinton, OK. Quinton is a town in Pittsburg County, Oklahoma, United States. The population was 1,071 at the 2000 census. The town was named for Elizabeth Quinton who lived to be 116 years old. Her family still resides in and around the town of Quinton. Quinton is located at 35°7′33″N 95°22′3″W / 35.12583°N 95.3675°W / 35.12583; -95.3675 (35.125904, -95.367470). According to the United States Census Bureau, the town has a total area of 1.1 square miles (2.9 km²), of which, 1.1 square miles (2.9 km²) of it is land and 0.88% is water.