You don't indicate what tools you used for your search. Did Henry become a citizen and if so, did you get his applications (Declaration, Petition, Certificate of Arrival) which will show entry information into the U.S.? Email the NARA branch in Chicago and see if they will search their records for him.
Did you use the Gold Form at stevemorse.org? If I look for any J Kamhik (sounds like) born 1894 to 1896 and Polish at this site, I get 5 hits and line 4 might be a possible.http://tinyurl.com/a6xwfc2
and for A Matzuka (male): http://tinyurl.com/asvyhpt
with line 6 looking interesting