Some interesting models I found in Berlin Technik Museum.
The first german steamboat was "Princessin Charlotte von Preussen", a center wheeler in service 1816 - 1821. Second steamer "Courier" connected Berlin - Hamburg from 1817 to 1821. The "Prinz Carl", first iron steamboat made 1834 - 1837, was a misconstruction because of her poor engines. The "Luitpold" of Lake Chiemsee was in service 1887 to 1969, her compound engine of 180 is on display. look at the very thin iron sheets of hull planking. The models are made in scale 1 : 50
Last two pictures are my steam driven models of "Courier" and "Prinz Carl" in 1 : 25.