From the film, "The Road to Morocco", it was number one for two weeks, at the beginning of 1943, Harry James and Glenn Miller also charted the song later in the year--the vocalist on the Harry James version was not Frank Sinatra(as one might guess, given the year), it was Johnny McAfee--

There was a wonderful Broadway show a couple of years back, called "Swingin' On a Star", with songs by Johnny Burke--one of the highlights of the show was a send-up of the "Road" Pictures that featured this song--