To be exact, the performance is by Swing & Sway with Sammy Kaye - with the Three Kaydetts as the featured vocal group. Not trying to be jerkfacey - just thought I’d mention it in case anyone tries to find it.
One of my favorite songs from the 40s - “The Hut Sut Song” by The 3 Kaydets. (You will recognize it from A Christmas Story. It’s in the scene in the beginning of the movie when Ralphie firsts asks for a Red Ryder BB gun over breakfast (and has his fantasy sequence with Black Bart) and his mother tells him that he’ll shoot his eye out.)