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Bartrum cites a single pedigree for this man of Llanfair Talhaearn, found in 3 sources:
          "Hedd molunoc ap Greddyf ap Tymyr ap Llawr ap Llawfrodedd farfawc ap Alan ap Alser ap Tudwal Gloff ap Rodri Mawr"
In his notes, he suggests Hedd was born c. 1070 and the pedigree is "chronologically" possible.  About 11 years later, Bartrum, in his "Welsh Genealogies AD300-1400", charted Hedd as:
         Hedd (1070) ap Alunog (1030) ap Greddf (1000) ap Tymer (970) ap Llawr (930) ap Llawfrodedd farfog (900) ap Aelan (900) ap Alser (870) ap Tudwal Gloff (830) ap Rhodri Mawr (830)
       Our work on this family dates Hedd c. 1050 or 6 generations after Tudwal Gloff of c. 865.  Just 3 years after Bartrum published this pedigree, he published his "Early Welsh Genealogical Tracts" in which he cites 7 entirely different sources which begin the pedigree as "Hedd ap Alunog", which would make Hedd occur 8th after Tudwal Gloff. 
       In our paper "Hedd ap Alunog of Llanfair Talhaearn" [1], we suggest Greddyf was merely nicknamed Tymyr (meaning "with a temper") and that Llawr was the same man called Llawfrodedd farfog (These are adjectives meaning "melancholy" and "bearded" used to describe Llawr);  We believe the correct pedigree should read:
"Hedd (1050) ap Alunog (1020) ap Greddf Tymer (990) ap Llawr (960) ap Aelan (930) ap Alser (895) ap Tudwal Gloff (865) ap Rhodri Mawr (820)"
[1]  See our paper on Hedd ap Alunog at the link below: