Who *Was* the First Bishop of Rome?

I continue from my post of yesterday, in which a reader asked about whether Peter was really the first bishop in Rome (that is, the first Pope).    In my next post I’ll deal with the question, also asked, about if we have any solid information about how Peter died (crucified upside-down??)

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But who was the first bishop of Rome?  According to the second-century Irenaeus, it was a man named Linus, who was appointed to the office...