… the Church of Rome, at the end of the first century, exhibits a marked sense of its own priority, in point of witness about events in other churches. Note also that the Roman Church did not feel obliged to make a case, however argued, to justify its authoritative pronouncements on what we should now call the internal concerns of other churches. There is nothing said about the grounds of this priority…Apparently Rome had no doubt that its priority would be accepted without argument." (ibid, page 125-126)
Speaking of the Church of Rome, Ignatius [AD 110] uses the phrase ‘which presides’ in two passages. … The term ‘which presides’ [Greek given] needs no discussion; used in the masculine it means the bishop, for he, as head of the local church, sits in the ‘first place’ at the eucharistic assembly, that is, in the central seat. He is truly the president of his church…[Ignatius] pictured the local churches grouped, as it were, in a eucharistic assembly, with every church in its special place, and the church of Rome in the chair, sitting in the ‘first place.’ So, says Ignatius, the Church of Rome indeed has the priority in the whole company of churches united by concord…In his period no other church laid claim to the role, which belonged to the Church of Rome." (page 126-127)
"…Irenaeus [AD 189] insists that anyone looking for the truth can find it in the Tradition of the Apostles, which every local church has preserved. So we must suppose he thought that the Apostolic Tradition and the Faith proclaimed to mankind were preserved in the Roman Church more fully than in others, or, at least, in a more manifest way. "
“…according to [Cyprian’s] doctrine **there should have really been one single bishop at the head of the Universal Church…**According to Cyprian, every bishop occupies Peter’s throne (the Bishop of Rome among others) but the See of Peter is Peter’s throne -par excellence-. The Bishop of Rome is the direct heir of Peter, whereas the others are heirs only indirectly, and sometimes only by the mediation of Rome. Hence Cyprian’s insistence that the Church of Rome is the root and matrix of the Catholic Church [Ecclesiae catholicae matricem et radicem]. The subject is treated in so many of Cyprian’s passages that there is no doubt: to him, the See of Rome was -ecclesia principalis unde unitas sacerdotalis exorta est- [the Principal Church from which the unity of the priesthood/episcopacy has its rise].” (ibid, page 98-99)