Since I wrote this post I was able to find some exact matches.
My great grand father Benö Ihász born in Nyárád, Veszprém, Hungary baptized 03 Apr 1881
His parents Gábor Ihász and Katalin Pordán had their first child Rozi Ihász in 1872 in Románd, Veszprém, Hungary
There is also Mári Ihász
There are two Imre Ihász listed 2 years apart. Is it possible one died and they renamed a second child the same name? Then there is their last child Sándor Ihász in 1887
So the most likely Great Great grandfather would be Gábor Ihász baptized 25 Sep 1848 to József Ihász and Rosalia Bálint.
This is fun but confusing.
Mark