Almost all browns in the US are descendants of Loch Leven fish. The name "German Brown" is a bit of a misnomer; the first eggs brought over were, in fact, from Germany (hence the name), but most brought over after that were from Loch Leven.
Ironically, in recent years Loch Leven itself has been primarily a rainbow fishery, although they're trying to change that.
I don't believe you can really tell a whether a brown in the US is from German or Scottish stock by looking at it. Different strains have certainly evolved in different watersheds here, though, over the last 129 years. I once a met a biologist from Pennsylvania who claimed that he tell which watershed any brown in the state came from just by looking at its pattern of spots, but that differentiation all happened in the US, not in Europe.