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 composed an instrumental piece titled "Melody in A Major." Decades later, songwriter Carl Sigman added lyrics to the melody, renaming it "It's All in the Game."2 In 1958, a rendition of the song by Tommy Edwards reached number one on the Billboard Hot 100, making Dawes the only U.S. vice president to have a song he composed become a chart-topping pop hit.3