Anderson, Allan Orr, Early Sources of Scottish History A.D 500 to 1286, (Edinbur...
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Anderson, Allan Orr, Early Sources of Scottish History A.D 500 to 1286, (Edinburgh: Oliver and Boyd, 1922), vol. 1, citing, "Cf. A.U., i, 584, s.a. 1045 (with f.n. and e. of 1045) : 'A battle [was fought] between Scots, among themselves ; and in it fell Cronan, the abbot of Dunkeld.' Similarly also in A.L.C., i, 46, s.a. 1045. Cronan was a more familiar name to Irishmen than Crinan. This Crinan seems to have been the father of king Duncan. See year 1034. Duncan's grandson, Æthelred, also was an abbot of Dunkeld. See year 1093, note. This warfare was doubtless a rebellion raised against Macbeth. It may have been the same attempt against him, in which the Northumbrians took part ; and which the Annals of Durham place in 1046. See E.C., 84.", 584.