Cochran reached the majors in 1918 with the Boston Red Sox after batting leadoff with the Kansas City Blues, the 1918 American Association champion team. Cochran debuted with Boston on July 29, 1918 and played all but one of his 24 major league games at third base. He played his final game on September 2, 1918.
Although baseball encyclopedias only list Cochran as a right-handed thrower, the San Francisco Chronicle of September 4, 1918 also lists his height (5 ft 9 in (1.75 m)), weight (160 lbs.) and batting side (both).
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