This was written by Peter DeRose and published in 1933 as a piano number. Mitchell Parish added lyrics in 1938.
Larry Clinton and His Orchestra with Bea Wain had a big hit with it in 1939.
There were numerous other versions in the same vein before the Dominoes’ doo-wop classic of 1957.
Brother and sister Nino Tempo and April Stevens recorded it in 1963 and it topped the US chart. I thought it did well in Britain but I can’t find a chart placing for it.
Here it is on TV with another of their hits, Whispering.