Are You a Descendedant of Achilles?

In a patrilineal society like Macadonia, Alexander constantly called attention to his mothers. He associated himself with Achilles rather than his dad's line and Heracles. Zeus however began to fascinate him as his conquest went on. If you could bring Olympias from her home or the ruling area of Macadonia in a giant Concord jet land her in Babylon where Alexander is 10 years after she last saw him, I wonder if she would recognize him.