Thanks for your help Dieter. This is my starting point, Anna Kunigunda's baptism record, where it describes Hans Konrad as being from Ilnhausen. So you've made a good point about the Kaiser/Pfiefer marriage record describing Hans Konrad as being from Kirchbracht. There are three tiny villages that adjoin each other Illnhausen, Kirchbracht, and Mauswinkel. It wouldn't take much to move from one to the other, so it certainly complicates things.
As far as his father, I've seen records for a Hans or Johannes K. "the carpenter", "the alderman", and "the shopkeeper". I may have bit off more than I can chew.
I really appreciate you looking at the records Dieter.