My Grandfather was Stanley Babicz, born in 1879 in Poland and immigrated to the US in 1903 onboard the ship Friedrich der Grosse. He married my grandmother in 1908 and they had six children. So far this seems to fit the information you gave. However my grandmother died in 1944, and grandfather did not remarry. He died in 1953.

Does this help you any? If anything, it could possibly rule out one Stanley Babicz from the Ellis Island records for you.