This is why it is fitting to elect and ordain as bishops men who have neither children nor grandchildren, considering that it is not possible for a man subjected to the concerns of daily life, especially those that children bring to their parents, to apply all his zeal and spirit to divine liturgy and ecclesiastical matters. [Justinian's letter to Atrabius, Prefect of the Praetorium, March 1, 528]
Though the holy canons do not allow priests who are much loved by God or the very religious deacons and subdeacons to marry ..., we see that some of them despise the holy canons and beget children from the wives with whom, according to the priestly rule, they are not permitted to have relations. The only punishment for such an offense has always been dismissal from the priesthood…let such men be deposed from the priesthood and from the sacred ministry, .... Clearly, if such actions are forbidden by the holy canons, in the same way the crime must be stamped out according to our civil laws; besides the aforementioned penalty of deposition, we order that not even children previously considered legitimate be accounted as legitimate any longer,... [Justinian's letter to Julian, Prefect of the Praetorium, October 18, 530]
Not only did the priest get defrocked and become an outcast in society, his children also suffered from "the sins of the father."
The Western Church had a slightly different view, and for a time did not want to disrupt the sacrament of marriage that had been established by God. Tomorrow we'll look at the last married pope and his wife!