Genau.
Interesting wee snippet about German names: Germans who wanted to hide the fact that their ancestors were tradesmen would often Latinize their names, e.g. Müller would become Mollitor and Schneider would become Sartorius. I helped a chum of mine with a client of his called Mollitor, and I had a nice wee inward chuckle, knowing that his forebears had been snobs.