For the earliest years of the 18th century, there seem to be fewer German firearms that still exist. There SEEMS to be a sort-of "explosion" of firearms in about the 1730's. Why, (or even if this is actually true) I couldn't say. MOST of the old guns I get to see or have photos of seem to be from the 1740's-1760's. It's kinda wierd. Maybe it was cost, maybe it was political reasons, I don't know. If at all possible, I'm sure one of the main items one would bring to the new wilderness would be your gun. I know that by the middle of the 18th century (the time of the "redemptioners"...a phrase I don't fully understand), many of the Germans that came to America were lucky to leave the port of Rotterdam with the clothes on their backs. They were ripped off in every way imagineable.
I remember a quotation from SOMEWHERE that after leaving the continent, the ships carrying the Swiss/Germans to America would stop in England, and this was their last chance to buy provisions like seeds, tools, and gunpowder.
Also, in the earliest part of the 18th century the "Palatines", generally Anabaptists, of course, may not have been able to bring guns with them. If they ever had any, they may have been confiscated...along with most of the rest of their property. That is why they came here.
I know nothing about German immigration to New York. In PA, the earliest known gunsmith in Lancaster county (THE place for the palatines) was in something like 1720, and if I remember correctly, his name was Becker. There were several others shortly thereafter. I know nothing about possible gunsmiths in Germantown, PA, the original settlement of the Mennonites/Swiss Brethren.
I still haven't gotten around to photos.
Go to
www.Hermannn-historica.com and look at their auction catalogs. They have 2 or 3 on line. There is a wealth of knowledge to be had from these folks (and, you can buy a gun too!)