The only thing about that blog that I would criticise is how they downplay the odds because the names are so common.
Even if they are each individually common, as a group that makes it much more rare. Just looking at Joseph, Mary and Jesus, the odds of getting all 3 together are 8.3% x 21.4% x 3.4% (using the odds posted in the blog).
The result is .06% or 6 in 10,000 chance of that particular grouping of names. If you include the rest of the names the odds are even greater.
So I don't think the commonness of a name is a good method to discount this theory.
That being said, my guess would be that this finding is a coincidence and that it will be impossible to prove that it is THE Jesus beyond any reasonable doubt. Unless someone has DNA that can be confirmed as coming from the biblical characters I can't see how there will ever be definitive evidence (with today's technology).
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