Like the reference to Jack that Magicpedia used to have a few days ago, the other references to Jack have come from sources who probably got them from Whaley, Maven or Magicpedia, as I did. What is needed is a study of the Linking Ring articles that Jack contributed and inquiries to the IBM Ring member records of both Lippincotts. Some one might have the original instructions for either the Holden box or the Redmon box that might shed some insight on the problem.
I'm comfortable with the idea that, from what I've seen of the box, it is simply a variation of "The Watch Box" described by Professor Hoffmann in "Modern Magic" (p.148) and it was so old even in 1876 that no one knew who came up with the trick. Someone with the last name of Lippincott shrank the box, and, according to the Redmon ad, Mel Lippincott came up with the routine of putting a glass on top of the box to vanish the quarter. That seems to be all we know for certain.