By the year 300 the Catholic church had gone through at least 25-30 Popes. You don't have to believe it, but there they were....maybe with pointed hats and croziers...who knows!!
If you think the Catholic Church started earlier then that they had a whole lot more then that.
"The word pope derives from Greek πάππας meaning "Father". In the early centuries of Christianity, this title was applied, especially in the east, to all bishops and other senior clergy" Find here.
A simple search and study on the history of the title pope shows that in the early church many were called popes. Trying to establish some sort of "lineage" is ridiculous. Even the Catholic Church admits such.
The title pope, once used with far greater latitude (see below, section V), is at present employed solely to denote the Bishop of Rome, who, in virtue of his position as successor of St. Peter, is the chief pastor of the whole Church, the Vicar of Christ upon earth. [Catholic Encyclopedia]
BEFORE the bible was compiled; GOD had warned seven Catholic churches about their FALSE TEACHINGS.