Doc Pomus and Mort Shuman did in fact have some other entries to brighten 1959. This is a great song, and in the middle eight bars, Mort quotes the Middle 8 of the famous Brahms Lullaby. Its an inspired touch.
The Mystics: Hushabye
This song got an exceptional recording from the Beach Boys in 1964. Brian Wilson slowed the song down after all, lullabies arent supposed to rock and he starts the song with the quote from Brahms. The group elevates the song to art.
The Beach Boys: Hushabye