Fruit analogies have nothing to do with it. There is an unbroken succession of popes from Peter I to Benedict XVI within the Catholic Church guided by the Holy Spirit through the process of Apostolic Succession. If you concede that the Holy Spirit worked with as you say the "early church" you have to explain how the Holy Spirit stopped working with the same institution. The answer is you can'.
That is completely inaccurate and you ought to know it...That line is broken in many places, even right at the beginning...Your religion inserted names to fill the gaps without any proof of accuracy whatsoever...