The first, dated to 789, records "a battle between the Picts, in which Conall son of Tadc was defeated and escaped; and Constantín was victor".
Later evidence of Connall mac Taidg's life is provided by regnal lists and by Irish historical writings.
The earliest of these may have been compiled during the ninth century not long after his reign, but none survives a manuscript of that date.
It is generally assumed that the Duan and Flann aim to report the succession of kings in Dál Riata.
The lists assign a reign of five years to this king who precedes Caustantín mac Fergusa.
Interpretations of Conall mac Taidg's life are determined largely by the shifting views of historians with regard to Caustantín mac Fergusa and the later origins of the Kingdom of Alba, a subject where the consensus may have changed recently, having previously been stable since the time of William Forbes Skene.