There is actually a very interesting story about that song - taken from a youtube site ...
Dave Guard, a member of the Trio, first heard it while he was dating the older sister of baseball's Tom Seaver at their home. The song had been a favorite of Seaver's parents since they first heard it played in a piano bar on their honeymoon back in 1932, and they decided to make it "their song" and had the piano player write down the music and lyrics. Guard loved the song, the Trio recorded it, but they never discovered who wrote it although they searched for years to discover the composer.
It's a shame the composer never got the rightful credit for it ...