Thanks, Jeremy. I had forgotten that "The Natural Thing..." was from Trotter's first studio session with Bing. It looks like Trotter's archive which includes annotated musical scores is at the American Heritage Center at the University of Wyoming: https://archiveswest.orbiscascade.org/ark:80444/xv293113?q=John%20Scott%20Trotter
It would fascinating to see what's there and to see who he "farmed" out some of the arranging load to. John Cascales who played tenor sax on the early Kraft shows and a number of Bing Decca recordings (including "Bob White" and "Don't Be That Way") became better known as arranger/composer Johnny Richards. I wonder if some of the more "modern" sounding arrangements used on radio by Bing with Trotter's orchestra were by Richards (1948's "Love Is So Terrific" being a case in point). I know that Trotter used Billy May at times as well an orchestrator for Bing ("On The Atcheson, Topeka and the Santa Fe").