Not sure if you saw this, on page 4 of his Declaration of Intent, it states Anthony ZUKOW emigrated to the USA from Libau, Russia on the ship Birma. And his last foreign residence was Grodno Poland. The certificate of arrival states the port of entry was Buffalo NY , June 15, 1914, manner of arrival says train, and cert is dated Dec 8, 1931. Page 1 of the Petition for Citizenship states his wife Mary entered the USA at New York, New York in 1902. He gives up his citizenship to the Republic of Poland.
He may have come into the USA then went to Canada, then came back. You can check out ellisisland org and see if you can find him as a passenger on the ship.Hope this helps. Here is the link where I found the application, you can save the PDF and print it off if you don't have it.