Source? My source is in the links I posted up at the top.
This was a quote from your source. I took it directly from this thread post and checked it with the site listed.
As to the duration of his Apostolic activity in the Roman capital, the continuity or otherwise of his residence there, the details and success of his labours, and the chronology of his arrival and death, all these questions are uncertain, and can be solved only on hypotheses more or less well-founded.
Those arent my words. They are the words of the source article. uncertain and hypotheses is not what I will base my beliefs on. Catholics obviously choose otherwise.