Malcolm is said to have been murdered at haunted Glamis, in Forfarshire, in 1034; the room where he died is pointed out by legend in the ancient castle.  His rightful heir, by the strange system of the Scots, should have been, not his own grandson, Duncan, but the grandson of Kenneth iii.  The rule was that the crown went alternately to a descendant of the House of Constantine (863-877), son of Kenneth MacAlpine, and to a descendant of Constantine’s brother, Aodh (877-888).  These alternations went on till the crowning of Malcolm ii. (1005-1034), and then ceased, for Malcolm ii. had slain the unnamed male heir of the House of Aodh, a son of Boedhe, in order to open the succession to his own grandson, “the gracious Duncan.”  Boedhe had left a daughter, Gruach; she had by the Mormaor, or under-king of the province of Murray, a son, Lulach.  On the death of the Mormaor she married Macbeth, and when Macbeth slew Duncan (1040), he was removing a usurper—­as he understood it—­and he ruled in the name of his stepson, Lulach.  The power of Duncan had been weakened by repeated defeats at the hands of the Northmen under Thorfinn.  In 1057 Macbeth was slain in battle at Lumphanan, in Aberdeenshire, and Malcolm Canmore, son of Duncan, after returning from England, whither he had fled from Macbeth, succeeded to the throne.  But he and his descendants for long were opposed by the House of Murray, descendants of Lulach, who himself had died in 1058.

The world will always believe Shakespeare’s version of these events, and suppose the gracious Duncan to have been a venerable old man, and Macbeth an ambitious Thane, with a bloodthirsty wife, he himself being urged on by the predictions of witches.  He was, in fact, Mormaor of Murray, and upheld the claims of his stepson Lulach, who was son of a daughter of the wrongfully extruded House of Aodh.

Malcolm Canmore, Duncan’s grandson, on the other hand, represented the European custom of direct lineal succession against the ancient Scots’ mode.

CHAPTER IV.  MALCOLM CANMORE—­NORMAN CONQUEST.

The reign of Malcolm Canmore (1057-1093) brought Scotland into closer connection with western Europe and western Christianity.  The Norman Conquest (1066) increased the tendency of the English-speaking people of Lothian to acquiesce in the rule of a Celtic king, rather than in that of the adventurers who followed William of Normandy.  Norman operations did not at first reach Cumberland, which Malcolm held; and, on the death of his Norse wife, the widow of Duncan’s foe, Thorfinn (she left a son, Duncan), Malcolm allied himself with the English Royal House by marrying Margaret, sister of Eadgar AEtheling, then engaged in the hopeless effort to rescue northern England from the Normans.  The dates are confused:  Malcolm may have won the beautiful sister of Edgar, rightful king of England, in 1068, or at the time (1070) of his raid, said to