What you need to KNOW
>>> I'll speak with them in advance to see if there are any documentsavailable to peruse. <<<
Let's be clear, the ONLY information you need to establish in order to
acquire and research the old church records at your local LDS Family
History Center is >>> the name of the Hungarian (now Slovak) village
and the religion <<<.
We are pretty sure that you should be in Szepes/Spis Megye = county.
You already have a list of possible village names. The other clue is
that the two named families likely lived within TWO villages distance
of each other. If you can nail one village, the other will likely fall