This table also confirms the statement that the abbots all belonged to the same family, and so obtained office by a sort of hereditary right. St. Bernard gives no hint which would enable us to identify this family. But the genealogy given by MacFirbis enumerates the ancestors of Cellach in a direct line up to Fiachrach, son of Colla fo Crich, and is headed "Genealogy of Ui Sinaich, _i.e._ the coarbs of Patrick." The Bodleian MS., Rawl. B. 502,[1201] has the same genealogy, and entitles it "Genealogy of Clann Sinaich." The family then from which the abbots of Armagh were taken was the principal branch of that sept. From the genealogy it appears that the sept was derived from Sinach, from whom the fifth in descent was the Cellach whose name appears at the head of foregoing table. St. Bernard represents Malachy to have said in 1132, when he was induced to oppose Murtough, that the system of hereditary succession had already lasted nearly two centuries (§ 20). This statement is in accord with known facts. The genealogical table gives sufficient evidence that it began not earlier than the accession of Dubdalethe II. (965), and continued to the accession of Murtough. If there is no evidence that the three predecessors of Dubdalethe were of the Clann Sinaich, neither is there anything to disprove it. But their immediate predecessor, Joseph, was certainly not of that sept; for _A.U._ (MS. A, 935) tells us that he was of the Clann Gairb-gaela, and the list of coarbs in the Book of Leinster notes in addition that he came from Dalriada (_R.I.A._ xxxv. 327, 359). Thus the succession cannot have been established before the death of Joseph (936). Hence it lasted for a period of between 167 and 196 years. A period of 167 years, or a period of 196 years, might be described as "well-nigh two hundred years" (_annos ferme ducentos_), though the latter suits St. Bernard's language better than the former.