I too am of Friedrich ancestry . Our Josef Friedrich probably lived in Baden , possibly the Rastatt area. Is your Friedrich relative from near there? I am not sure where Prussia was in the 1800's.
Have you any German archives sites that you could email? I have tried the Stuggart and Freiburg archives without success in finding our Josef.
Thanks so much. Please email to Woodsyhill@aol.com
if you prefer.