Beckham County is a county located on the western border of the U.S. state of Oklahoma. As of the 2020 census, the population was 22,410. Its county seat is Sayre. Founded upon statehood in 1907, Beckham County was named for J. C. W. Beckham, who was Governor of Kentucky and the first popularly elected member of the United States Senate from Kent…Beckham County is a county located on the western border of the U.S. state of Oklahoma. As of the 2020 census, the population was 22,410. Its county seat is Sayre. Founded upon statehood in 1907, Beckham County was named for J. C. W. Beckham, who was Governor of Kentucky and the first popularly elected member of the United States Senate from Kentucky. Beckham County comprises the Elk City, OK Micropolitan Statistical Area.