I agree with Zlatica that the "stowaway" scenario is extremely unlikely; it almost never happened.
I think that the person you are probably looking for on the Ellis Island database is Janos Harakaly, who arrived on March 6, 1910 at the age of 17.
His last residence was given as Szinna (Snina). But if you go to the "birthplace" column, you will see that he was born in the village of Cziroka-Hosszumezõ -(about halfway between Szinna and Hommena). There are some other Harakaly's from the same village on the database also.
Church records of the village (1805-1920) are available through your local LDS Family History Center, as are 1869 Census Records.