In the Name of Jesus let every knee bow, of those that are in heaven, on earth, and under the earth: and let every tongue confess that the Lord Jesus Christ is in the glory of God the Father.
In the traditional Roman calendar, the Feast of the Holy Name of Jesus always follows the Feast of the Circumcision, being celebrated either on the next day, or the next Sunday. This, of course, is because circumcision, like baptism under the Christian dispensation, is the occasion on which one's name is formally received. That Christ was circumcised shows that he entered under the old law in order to fulfill it in his own person and thus inaugurate a new and definitive covenant such that those who are in Christ are no longer bound under the old law, thanks be to God.
It occurs to me that the eighth day is probably a highly appropriate one on which to baptize one's children, a mark which we've twice overshot by two days.