Gracie Allen's "Concerto for an Index Finger" began as a publicity stunt in March 1943 which ran throughout the month on both the Burns & Allen and Jack Benny radio shows and led to live performances at Carnegie Hall and The Hollywood Bowl.
Gracie Allen loathed the hurry-up-and-wait tedium of making movies, but husband George Burns always talked her into it, claiming it was good for both their act and their bank account. By this point in their career the couple no longer needed publicity or money, so once filming was completed, Allen insisted this was to be her final movie - which it was.
Frank Sully is listed in cast position #9 in the first set of cast credits, but is omitted in the second set of credits later. Hence the opening set is used first, and completed with the remaining members in the second set not yet used.
There was a three-page (pre-release) spread in the December 20, 1943 issue of 'Life Magazine" (using the working title of "Two Sisters and a Sailor" featuring Dream Girl models Helen O'Hara and Katherine Booth/Karin Booth (first page), Kay William and Alice Eyland (2nd page), and (3rd page) Ava Gardner.