William Chester Dawley (born February 6, 1958) is an American former professional baseball pitcher. He played all or part of seven seasons in Major League Baseball (MLB), from 1983 to 1989, for the Houston Astros, Chicago White Sox, St. Louis Cardinals, Philadelphia Phillies, and Oakland Athletics. Dawley was used exclusively as a relief pitcher during his major league career, appearing in 275 games as a reliever.