From the stage and film musical of the same name, this song was written by Jimmy Van Heusen with lyrics by Sammy Cahn.
Jimmy Van Heusen (1913 - 1990) was an American composer who Wrote songs for films and television. He won four Academy Awards for Best Original Song and also an Emmy.
Sammy Cahn (1913 – 1993) was a four times Academy Award-winning American lyricist, songwriter and musician who was best known for his romantic lyrics to Tin Pan Alley and Broadway songs as recorded by Frank Sinatra, Doris Day and many others. He also played the piano and violin.

This video was made on a D-type Wurlitzer, believed to be the first one to be imported into the UK in 1925. After being used in the "Picture House" Walsall for several years, it was then installed in the Congregational Church at Beer, a delightful little fishing village situated in South Devon UK, where it still remains. http://www.beer-congregational-church.org.uk