Mr Cusack thought the tradition of adding "junior" or "II" to a child who shares his parent's name was "too common".
But it seems he had a hard time persuading Jon's mum to go for the upgrade.
Mrs Cusack didn't give in to her hubby until the week before her son was born.
Meanwhile, Mr Cusack has already suggested that if little Jon has a son, he could name it 3.0!