[OLD REGGIE]

Where did you get that? The Early Church (pre-Constantine) was far less centralized than the Roman Catholic Church is today, for reasons of being underground for most of its early life and the logisticsl impossibility of robust communication. These were local Churches in obedience to their bishops, and most important Churches were not even the Church in Rome. But they were all Catholic Chruches because they believed the same thing; when one or more Churches deviated in anything doctrinal, an apostle would write the letter to fix the problem, and after the passing on of the Apostles, a figure of inherited apostolic authority would do the correcting, or a Church Council would be held. This was nothing like the Protestant system os self-appointed pastors and divergent doctrines.

The above, while fictional, does not begin to meet the standard set by Lewis Carroll.

You would have no organized Church and no Papacy prior to Constantine. I agree, but you have strayed from the "official" account.

[annalex]

You would have no organized Church and no Papacy prior to Constantine

St. Peter was succeeded by one Linus of whom we know nothing. Depending on historian, either the next or as late as fourth pope was Clement I and he left quite a legacy, way before emperor Constantine.

Pope St. Clement I