You need to locate a precise name of a town in order to proceed.
71 REFIs came thru Ellis Island. There were 2 Imre REFIs and both from Vanyola, Veszprem megye.http://lazarus.elte.hu/hun/maps/1910
The LDS-Mormons website is listing church records of Vanyola. You can order them and gather ancestral information. www.bmi.net/jjaso
to familiarize yourself with church wording. www.rat.de/kuijsten/navigator