A large number of places in the United States:
"Clayton is a common name found in many towns across the United States."
A town, the county seat of Barbour County, Alabama; named for Georgia jurist and congressman Augustin Smith Clayton.
"Residents traveled to Clayton in Alabama to attend the annual court session at the county seat."
The name Clayton comes from the Old English words for "clay" and "settlement." It originally referred to an enclosure or town built on clay soil before traveling into Middle English and eventually modern English.