I think these records are for your great-grandfather John Garley (aka Jan Garlej) born in Nameszto, which I think use to be in Hungary, now Slovakia. Try to verify.
New York Passenger Lists, 1820-1957
Name: Jan Garlej
Arrival Date: 8 Dec 1906
Birth Year: abt 1889
Birth Location: Hungary
Birth Location Other: nameszto
Port of Departure: Bremen
Port of Arrival: New York, New York
Ship Name: Kaiser Wilhelm der Grosse
***I can't make out who he was going to in Chicago, Illinois.
His signature looks like John Garlej? or Garley?, even though it is indexed as Girlon, and looks like Girlay?
World War I Draft Registration Cards, 1917-1918
Name: John Girlon
Residence: Armstrong Creek, Wis
Birthplace: Hungary;Austria (Namats?)
Birth Date: 22 Dec 1891
Race: Caucasian (White)
FHL Roll Number: 1674638
By whom employed: Father
Where employed: Armstrong Creek
Dependants: Wife & one child
Color of Eyes/Hair: Brown/Dark? Brown
Date: June 5, 1917
Armstrong Creek, Forest Co. Wis.