Loairn, two kin-groups claiming descent from different ancestors of Erc. During the reign of Macbeth (Mac Beathadh Mac Findláich), and his successor Lulach (Lulach Mac Gille Comhgháin), the Moray-based Cenél Loairn ruled all Scotland. The reign of Malcolm II saw the final incorporation of these territories. The critical year perhaps was 1018, when King Malcolm II defeated the Northumbrians at the Battle of Carham. In the same year, King Owain Foel died, leaving his kingdom to his overlord Malcolm. A meeting with King Canute of Denmark and England, probably about 1031, seems to have further secured these conquests, although the exact nature of Scottish rule over the Lothian and Scottish Borders area was not fully realised until the conquest and annexation of that province during the Wars of Independence. Duncan I to Alexander I The period between the accession of King Duncan I (Donnchadh Mac Críonáin) (1034) and the death of Alexander I (1124) was the last before the coming of the Normans to Scotland. In some respects, the reign of King Malcolm III (Maol Caluim Mac Donnchaidh) prefigured the changes which took place in the reigns of the French-speaking kings David I and William I, although native reaction to the manner of Duncan II's (Donnchad mac Máel Coluim) accession perhaps put these changes back somewhat. King Duncan I's reign was a military failure. He was defeated by the native English at Durham in 1040, and was subsequently toppled. Duncan had only been related to previous rulers through his mother Bethoc, daughter of Malcolm II, who had married Crínán, the lay abbot of Dunkeld (and probably Mormaer of Atholl too). At a location called Bothganowan (or Bothgowan, Bothgofnane, Bothgofuane, meaning "Blacksmith's Hut" in old Gaelic, today Pitgaveny near Elgin), the Mormaer of Moray, Macbeth defeated and killed Duncan, and took the kingship for himself. After Macbeth's successor Lulach, another Moravian, all kings of Scotland were Duncan's descendants. For this reason, Duncan's reign is often remembered positively, while Macbeth is villanised. Eventually, William Shakespeare gave fame to this medieval equivalent of propaganda by further immortalising both men in his play Macbeth. Macbeth's reign however was successful enough that he had the security to go on pilgrimage to Rome. It was Malcolm III who acquired the nickname (as did his successors) "Canmore" (Ceann Mór, "Great Chief"), and not his father Duncan, who did more to create the successful dynasty which ruled Scotland