I found that you have knowledge of a Wolfgang Lauersdorf born abt 1785 and had a child named Johann Friedrick Wilhelm Lauersdorf that was born in Prussia in 1809.
I would be very interested to hear how you are connected and if you know of any other information about the Lauersdorf surname/family line.
I am a Lauersdorf and have done a lot of research and my earliest known relative is Johann Ferdinand Lauersdorf born 1808 in Brandenburg, Germany. Since the dates are so close Johann Friedrick could be a sibling and that would make Wolfgang Johann Ferdinand's father.
I hope you can fill me in on any information that you may have.