The correct answer is Charles G. Dawes.
Charles G. Dawes, who served as Vice President under Calvin Coolidge, was a self-taught pianist and composer.1 In 1911, he wrote an instrumental piece called "Melody in A Major."2 Decades later, songwriter Carl Sigman added lyrics to the tune, renaming it "It's All in the Game."3
In 1958, a rendition of "It's All in the Game" by Tommy Edwards became a No. 1 hit on the Billboard Hot 100, making Dawes the only U.S. vice president to have written a chart-topping pop song.4 The song has since been covered by numerous artists, including Nat King Cole, Elton John, and Van Morrison.5