Which Reminds Me

Most of our ancestors came from the British Isles, but someone is reminding us that our Barth ancestors were from Germany. They came to America in 1850 and most of the documents say from Saxony, although in one place it says Baden, which is a town in East Germany, so I am not sure how we would ever know one way or another whether they were from East or West Germany, it was just one Germany before and after, so I don't know why this point matters now.