My Lieb family originated in Asch, Donaukreis, Wurttemberg, GER.Johann Adam Lieb's son Johann Jakob LIEB moved to Suppingen.Of the 13 children born to Johann Jakob LIEB & Anna Maria MULLER, at least six removed to America.
Johann Adam LIEB, b 31 oct 1835 Suppingen, Wurttemberg emigrated to America with his sister Catharina on August 1852 on the ship 'Elizabeth' out of Bremen and arrived 1 Oct 1852 in New York harbor.Very close to your Johann Adam Lieb.
Lena Apollonia LIEB rem to America in May 1854 and m John Struebel.
Anna Maria LIEB rem to America ca 1851-1853 and m Henry KNAB.
Christina LIEB rem to America and m John Pyster of Carpinteria, Santa Barbara Co, CA.
Christian Eberhardt LIEB (my g-grandfather) removed to America 1877 and resided in Carpinteria, Santa Barbara Co, CA and other places.