Roman Catholics believe that St. Peter was the first Pope, had primacy over the church and was given a pastoral role by the Lord Jesus Christ himself, we know the scripture argument for the papacy, which is Matthew 16:16-18:
And Simon Peter answered and said, Thou art the Christ, the Son of the living God.
And Jesus answered and said unto him, Blessed art thou, Simon Barjona: for flesh and blood hath not revealed it unto thee, but my Father which is in heaven.
And I say also unto thee, That thou art Peter, and upon this rock I will build my church; and the gates of hell shall not prevail against it
but is there any historical evidence from AD 100-200 AD that the early church had a pope, who was the sole leader of the church of the one true church?