My one and only American ancestor was born in New Jersey (c1850). Granted it was a very long time ago compared to your 1933 date (one would think that birth and death records might have less errors by then), but I had a very difficult time finding a record of my ancestor's birth. It turns out that because he was a twin, the gender box had dashes rather than M or F which was not helpful when I was looking for the birth of a male, and the spelling of his last name was incorrect.
Is there a possibility that your ancestor's name could have been incorrectly recorded? Was the ship lost in 1933 or 1932? After a quick search, it appears that one website has the date recorded as 1932.

But, perhaps I did not find the correct barge.
...I also checked ancestry for New Jersey but perhaps I should check in the NJ archives itself.
PS I've also check Anc*try for the death an Irish ancestor (c1845 in New Jersey) and I've not yet found it on Anc*try.
PS, again.

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