Wonsley was drafted in the ninth round (229th overall) of the 1980 NFL draft by the New York Giants, but was cut by the Giants after training camp.[1] He was then signed by the Washington Redskins in April 1981,[2] where he spent his entire playing career and was used primarily as a backup to John Riggins. He was also a member of The Fun Bunch,[1] which was a group of Redskins players known for their choreographed group celebrations in the end zone (usually a group high-five) following a touchdown. The Fun Bunch's actions eventually resulted in a league-wide ban of "excessive celebration" in 1984.
Wonsley was a member of the Redskins Super Bowl XVII-winning team and played a vital role in what would be the game-winning play. With 10 minutes remaining, the Redskins faced fourth and inches. They decided to go for it calling, "70 chip," a run play designed for Riggins in short-yardage situations. Riggins took the handoff from Joe Theismann and followed Wonsley[1] and tight end Clint Didier through the left side. Riggins then broke an attempted tackle by Dolphin cornerbackDon McNeal and ran for a 43-yard touchdown.[3] The Super Bowl win was the Redskins' first championship victory since 1942.[4] On December 6, 2007, Riggins' run was voted by fans as the Redskins' Greatest Moment.[5][6]