They are supposedly the modern forms of the names. Pohirtsi was the only that sounded closest to me, too. That's why I kind of dismissed the idea that we were from today's Ukraine and moved onto today's Poland since I could find "Lysakaw" and "Rudki" throughout Poland. Just could never find them together or the other two names I've got in documents. I want to know the truth, but it definitely makes me VERY frustrated.