I would basically agree with you that there is really no mention of any "lead" or "head" pastor as such.
But it is obvious that some of the early church leaders had more authority/weight than others. That is, Peter, James, and John were the leaders of the church in Jerusalem.
And when James, Cephas, and John, who seemed to be pillars, perceived the grace that was given unto me, they gave to me and Barnabas the right hands of fellowship; that we should go unto the heathen, and they unto the circumcision. (Gal. 2:9)