There are 2 possible names listed on the Ellis Island data base, recorded as Janos Gedrimsky age 30, arrived 5/2/1903 going to Chicago. Also a Jonas Gedrimar, 22, arrived 9/3/1901, going to Mt Carmel PA.
It looks like there is more on his wife Martha on Ellis Island. A Martha Spulginaitz, 21, arrived 6/2/1906, going to her brother in Chicago, Augustinas Spulginaitis from what looks like Deringz. I couldn't find her brother's original entry into the USA (he says he was in Chicago 1902-1912) but found him returning on 7/6/1914, name recorded as Lugustin Spulgin, age 38, going to his cousin in Chicago, Jans Gedrim, street name looks like Grove, coming from Kurszan Kowno, from Elzbietz Spulgin, not sure of relationship, there is a "s." in front of her name, perhaps for sister. There is a town Kursenai in the Siauliu region and the on-line phone directory TAKAS shows some families there with names that begin with Spulgin-.
You may want to look at the Ellis Island data base for John and see if you can see a connection to either of the 2 passengers I mentioned.