Martha
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 (surname navigator)