This is obviously the same version. If the person who uploaded it is to be trusted, it's Charlie Spivak and orchestra, with vocals by The Stardusters.
The version on this recording seems to confirm it.
http://www.cduniverse.com/search/xx/...+1941-1942.htm
I looked at several for-sale listings on Amazon just to compare the 3:21 length of the song, but not one of them had time listings. Still it seems fairly certain.