I was going to say we need to find that immigration record. You have it? YAY! What does it say?
This is such an interesting inquiry. There are other Gottschalk families in New Orleans and environs and one wonders how/if they are related. Then too it's interesting that this German man has married a woman of French ancestry - an early story of the great American melting pot. Apparently German immigrants had a tremendous influence on the history of New Orleans and Louisiana (according to the deep reading I did on Wikipedia for a couple minutes, LOL).