It’s a pity these folks don’t know about Ignatius of Antioch and Dionysius of Corinth. Ignatius was a disciple of Peter and succeeded him as Bishop of Antioch. He was also a contemporary and friend of Polycarp of Smyrna. Polycarp was a disciple of John, and it was Polycarp who discipled Irenaeus. Of course, both Peter and Paul (as well as Clement of Rome) all had interaction with the Church at Corinth. These are significant interconnections in the days before Facebook**.**
Do these early witnesses place Peter in Rome?

Read on for the exciting answer!
Early Church Fathers – Peter in Rome
Ignatius of Antioch
“Not as Peter and Paul did, do I command you [Romans]. They were apostles, and I am a convict” (
Letter to the Romans 4:3
A.D. 110]).
Dionysius of Corinth
“You [Pope Soter] have also, by your very admonition, brought together the planting that was made by Peter and Paul at Rome and at Corinth; for both of them alike planted in our Corinth and taught us; and both alike, teaching similarly in Italy, suffered martyrdom at the same time” (*Letter to Pope Soter *[A.D. 170], in Eusebius,
History of the Church 2:25:8).
Irenaeus
“Matthew also issued among the Hebrews a written Gospel in their own language, while Peter and Paul were evangelizing in Rome and laying the foundation of the Church” (
Against Heresies, 3, 1:1 [A.D. 189]).
“But since it would be too long to enumerate in such a volume as this the succession of all the churches, we shall confound all those who, in whatever manner, whether through self-satisfaction or vainglory, or through blindness and wicked opinion, assemble other than where it is proper, by pointing out here the successions of the bishops qf the greatest and most ancient church known to all, founded and organized at Rome by the two most glorious apostles, Peter and Paul, that church which has the tradition and the faith which comes down to us after having been announced to men by the apostles. With that church, because of its superior origin, all the churches must agree, that is, all the faithful in the whole world, and it is in her that the faithful everywhere have maintained the apostolic tradition” (
ibid. 3:3:2).
“The blessed apostles [Peter and Paul], having founded and built up the church [of Rome], they handed over the office of the episcopate to Linus. Paul makes mention of this Linus in the epistle to Timothy [2 Tim. 4:21]. To him succeeded Anencletus, and after him, in the third place from the apostles, Clement was chosen for the episcopate. He had seen the blessed apostles and was acquainted with them. It might be said that he still heard the echoes of the preaching of the apostles and had their traditions before his eyes. And not only he, for there were many still remaining who had been instructed by the apostles. In the time of Clement, no small dissension having arisen among the brethren in Corinth, the Church in Rome sent a very strong letter to the Corinthians, exhorting them to peace and renewing their faith. . . To this Clement, Evaristus succeeded. . . and now, in the twelfth place after the apostles, the lot of the episcopate [of Rome] has fallen to Eleutherus. In this order, and by the teaching of the apostles handed down in the Church, the preaching of the truth has come down to us” (
ibid. 3:3:3 [inter AD. 180-190]).