The concept of a bloodline is incoherent.

Since the number of direct ancestors doubles every generation you go back, individual lineage is closer to a bowl of spaghetti than a family tree.

Every generation you go back, you share less and less genetic markers. You share exactly 50% of your DNA with each parent, about 25% with each grandparent etc. Eventually you'll find a direct ancestor with whom you share no DNA markers. It's 12 generations back, on average.

So, go back a few hundred years, and you're not genetically related to anybody. Go back a thousand, and everyone's list of ancestors is indistinguishable.