"Shoo Shoo Baby" is a popular song made famous by The Andrews Sisters. They sang it in the 1943 film Three Cheers for the Boys and it became a big hit for them in 1944, reaching No. 6 in the chart. Their version features a jazzy vocal pop arrangement typical of the time, with a key hook provided by the horns. It was written by Phil Moore and has appeared on many albums of 1940's music.
Ella Mae Morse also recorded this song in 1943,  released on CAPITOL label 143, with Dick Walters Orchestra. This version went to number four on the pop chart and number one on the R&B charts for 2 weeks in Dec, 1943. It was also recorded by Glenn Miller with the vocals performed by the Crew Chiefs. Frank Sinatra recorded the song in the fifties, as did Nat King Cole.
A version of the song by an uncredited male singer is played over a radio at the Heavenly trial of the airman in the 1946 film A Matter of Life and Death as a symbol of modern America.