As I have said above, this will never be done. What if the DNA is a match?
I'm not disagreeing with you at all. It would throw the whole celebacy thing out the window and cause too many to question the Catholic Church and it's teachings. Not that I think it should be such an earth shattering revelation as it would bring Him more in line with family and the every day man, but many would would totally freak. The Bible had many more books before Constantine got his panties in a wad so who knows what information has been locked away or lost forever. Of course the NT was written from a man's view and even more so from men with ideas and traditions that excluded women. The story is that Mary and Mary M. fled so it would be plausible that to keep any supposed decendants safe that the writings would not mention it. I dunno, I wasn't there, but that story has been around as long as the Shroud and I suspect no one really wants to prove or potentially disprove either.