A very well laid out, and nicely finished rifle. Tasteful inlays, very good wood to metal fit, along with good quality checkering and engraving. It isn't related to s specific school or period but that is one fine rifle to be proud of owning.
If you really get into them there is a lot of good info available that will walk you through the early to late Flintlock period. Simple form is it started with the German influenced style, as many of the gun makers in the new world were trained in Germany. So think Yeager, shortish overall, larger caliber, sometimes smooth bored, blocky, thick butt stock and then evolved from there into what we commonly call the American long rifle. As much as three times longer overall, much finer lines and curves, far more delicate looking. At least early tended to be smaller caliber to use less powder and lead. Many of the remaining originals are truly beautiful in their form and architecture.
To learn all of the ins and outs and different styles and where they evolved takes a lot of research and study, but it only matters if you get heavily into Flintlocks, or have a big interest in the early gun making in North America.