Joseph W. Simpson (fl. 1890s) was an English footballer who made 70 appearances in the Football League playing for Lincoln City in three separate spells. He played as a full back. He also played for Midland League clubs Newark and Kettering, and for Lincoln-based club St Mary's. Simpson had an eventful debut for Lincoln City. After 20 minutes of the visit to Darwen, goalkeeper suffered a broken bone in his shoulder, and Simpson replaced him in goal. He and Lincoln conceded a further five goals, to make the final score 6–0.