I have found Friedrich Wilhelm Nobbe in the Niedersachsen Auswandererarchiv:
Name: Nobbe, Friedrich Wilhelm
Herkunftsort: Rinteln
Beruf/soziale Situation: Knopfmacher
Vermögen: ohne
Auswanderungsziel: Amerika
Entlassungsdatum: 13.9.1853
Quelle: StA M 16 II 14 Nr. 23 Bd. 2 S. 5; Wochenbl. 1853 S. 380
He was a button maker and left Germany on 13 Sep 1853. He planned to go to the US (but not all people who planned to go to the US made it). He was from Rinteln, which I believe is in Lower Saxony. If this is your guy your next stage would be the Rinteln parish records as he would have been born before state registration. Schultz is less easy, it is one of your Smith/Jones type surnames. I am sure someone will be along to help you though.
Hope this helps.
standardcrow