Hi Mary, thanks for your post. First of all, finding pre-1895 Greek-Catholic records for villages Hegyfark/Pidhorb and Hluboka may be problematical, they don’t have separate registers. At the same time, there are church records for bigger nearby villages like Szerednye, Baranya, Orosz Komorocz.
I may suppose that records for Hegyfark and Hluboka may be included to some bigger GC church register. It will require additional specification though.
Nevertheless, I would like to have more information. Please check your mail, I’ve sent specifying questions to you.