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Clifton Mathews (February 12, 1880 – September 7, 1962) was a lawyer and a United States federal judge.
Born in Concord, Georgia, Matthews read law to enter the bar in 1904; he was in private practice in Farmerville, Louisiana between 1904 and 1912. He was later in private practice in Roswell, New Mexico between 1913 and to 1915, then in Bisbee, Arizona until 1920, and then in Globe, Arizona until 1933. He was a Special assistant to State Attorney General of Arizona between 1929 and 1931 and then the United States Attorney for the District of Arizona between 1933 and 1935.
Mathews was a federal judge on the United States Court of Appeals for the Ninth Circuit. Mathews was nominated by President Franklin D. Roosevelt on March 13, 1935, to a seat vacated by William Henry Sawtelle; he was confirmed by the United States Senate on March 20, 1935, and received his commission on March 23, 1935. He assumed senior status on June 30, 1953. Mathews served in that capacity until his death.