There are some good materials on this issue. It has to make one wonder what implications does the earliest ecclesiology has on Roman Catholics claim to the papacy or other historical churches claims:
Dr. Michael Kruger:
Were Early Churches Ruled by Elders or a Single Bishop?
Triablogue:
13 Things You Didn’t Know About “the Papacy”
The Crafting of the 4th Century Roman Church, Doctrine, and Papacy
Understanding the Early Development of the House Churches in Rome, part 1
Understanding the Early Development of the House Churches in Rome 5: Patronage and Leadership
Emperor Worship and Roman Supremacy: The Roman Mindset
Dr. James White:
Is the Church of the Council of Nicaea the Roman Catholic Church?
Peter Established The Roman Church? (Part One)
Dr. Gavin Ortlund:
A Protestant View of Church History
Was There a Bishop of Rome in the First Century? Protestant Critique
The Council 