Thanks for the help, guys. The flicker/shakiness is in fact a result of the filming process, as opposed to the transfer, as I’m told the guy who filmed it 70 years ago originally tossed the defective footage aside, and it was never processed, until recently.
Nevertheless, I believe I found a solution with the Tinderbox deflicker plug-in. I downloaded the trial, and have had much better results with that than with anything After Effects could offer. Thanks for all the suggestions.