Karen
If you have a location in "old country" there should be no problem, right.
arr. NY EI
Chludik, Andras Bella, Hungary 33 1875 1908
Chludik, Andras T. Bella, Hungary 39 1875 1914
Hludik, Laslo Turka, Austria 24 1887 1911
Ludyk, Austwik Bertina, Austria 28 1878 1906
Ludyk, Hryc Lurierzowa, Galicia 18 1894 1912
Ludyk, Jakob Gydina, Austria 33 1878 1911
Ludyk, Jan Tutowa 19 1887 1906
Ludyk, Josef Mokie 42 1857 1899
Ludyk, Marya Krpyne, Austria 19 1895 1914
Ludyk, Oszt Krolik, Austria 38 1872 1910
Ludyk, Vacla 18 1888 1906
Ludyk, Wojciech Blezianka, Austria 18 1891 1909
Your research, judging by the locations and depending on the place of birth of your ancestor will either be in Slovakia or historical region Galicia.
www.iabsi.com/gen/publicwww.halgal.com