When I saw this thread title, I thought, "no sweat, I know these lyrics by heart".... but when I saw you wanted the writer, I had to dig through the trunk of notebooks and file folders to find my copy of the music. It is not traditional. The lyrics are by Jack Segal, music by Evelyn Danzig, copyright 1949 by Mills Music, Inc. The singer I most associate this with is Bing Crosby.

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