His is the only version to appear on the Billboard charts, in 1946. It peaked at 11 and was there for 9 weeks.
Here’s search results from AllMusic.com for other recordings of the song. Seems to have been popular with Frank Sinatra, Nat King Cole and Peggy Lee as well.
I can only find three versions issued in the US during the 78 rpm era, two of which have been mentioned already. I’ll fill in whatever other data I can find.
Johnny Mercer and the Piper Pipers: Capitol matrix #1129; recorded May 26, 1946; issued on Capitol 268; reviewed in Billboard on July 27, 1946.
The Ravens: King matrix #5564; issued on King 4293; advertised in Billboard on June 25, 1949.
The Hi-Los: issued on Columbia 41050; reviewed in Billboard on November 11, 1957.