The sins of the fathers.
Compare to:
"Fathers shall not be put to death for their children, nor children put to death for their fathers; each is to die for his own sins." [Deut. 24:16]
Yes, but ... being “natural born” is not a privilege to be withheld as some punishment. It is a circumstance that is conditioned upon the citizenship of the parents, in addition to the place of birth.