I found one of the E. Edelmann & Co nested screwdrivers. (Well, the local tool library... you know how it is.)
It's a very pretty thing, and
solid - just over 3.1 oz (91g), and just under 5-3/4" long. I could make out a bit of a patent date, when I cleaned it up, but not everything. However, I am reasonably confident from a combination of polishing the screwdriver, poking DATAMP, and looking at other examples that the patent date is Dec 18, 1917.
And then I discovered that Edelmann did not
have a patent issued to him on that date. He did (as per the marvellous DATAMP) have a
British patent for a combination tool that pretty clearly included the screwdriver in the handle--

--and used the same drawing to receive a
Canadian patent a couple of years later. But he applied for those on August 28, 1919 and September 6, 1921 respectively, so even if any mention of the country had been worn off, the screwdriver couldn't have been a part of a combination tool made in either country.
EspaceNet had eight hundred and twelve patents that were issued in the USA on December 18, 1917. (I think my favourite was
ELECTRICALLY-PROTECTED HOLDER FOR POCKET-BOOKS AND SIMILAR ARTICLES, but shout-out to
SUBSTANCE FOR TREATMENT OF TUBERCULOSIS, LEPROSY, AND OTHER DISEASES AND PROCESS OF MIXING SAID SUBSTANCE and the succintly-named
BURGLAR-TRAP.)
I am pretty sure that the patent for the three-in-one screwdriver made by E. Edelmann & Co is
patent 1,250,328 for a
COMBINATION-TOOL by Edwin L. Langford.
The only differences I can see between the Edelmann screwdriver and Langford's patent are the fact that the littlest screwdriver (10, 14) is separate from the base (13, 12), and the knob on the handle (11) is gone.
I can't find anything about the patent being assigned to anyone, but does "Edelmann acquires the patent, begins manufacturing the screwdriver, and then applies for a patent for the Four-In-One (the ones I saw online are usually marked "PAT'S PEND") as well as British and Canadian patents for a tool which incorporates the screwdriver" make sense?
Frances