William F. Conway (November 28, 1861 – December 18, 1943) was a backup catcher in Major League Baseball. Listed at 5 ft 8 in (1.73 m), 170 lb., Conway batted and threw right-handed. He was born in Lowell, Massachusetts. Conway was 22 years old when he entered the majors in 1884 with the Philadelphia Quakers, appearing in one game for them before playing seven games with the Baltimore Orioles in 1886. In a two-season career, Conway was a .111 hitter (2-for-18) with four runs and three RBI without extrabases.