τουτον τον Γαιον πρεσβυτερον φασι γεγενησθαι της κατα Ρωμην εκκλησιας επι Ουικτορος και Ζεφυρινου των αρχιερεων, χειροτονηθηναι δε αυτον και εθνων επισκοπον
This Gaius is said to have been a presbyter of the church at Rome during the episcopate of Victor and Zephyrinus, and to have been ordained bishop of the nations.
While it has puzzled scholars for generations I cannot help but think that this is a reference to some sort special office akin to the later Papacy - a bishop of bishops - an office which was quickly taken away. At the very least, it demonstrates how confusing and complex the real history of the period really was.