Malcolm was undoubtedly a prince of great acquirements. He made many changes and some improvements in the internal policy of his kingdom, and in him religion always found a guardian and protector. But although Malcolm is justly entitled to this praise, he by no means came up to the standard of perfection assigned him by fiction. In his reign Scotland appears to have reached its present boundary on the south, the Tweed, and Strathclyde was incorporated with the rest of the kingdom. Malcolm was the first who was called _Rex Scotiæ_, and might justly claim to be so designated, seeing that he was the first to hold sway over nearly the whole of present Scotland,--the only portions where his authority appears to have been seriously disputed being those in which the Danes had established themselves. Duncan, son of Bethoc or Beatrice, daughter of Malcolm II., succeeded his grandfather in the year 1033. “In the extreme north, dominions more extensive than any Jarl of the Orkneys had hitherto acquired, were united under the rule of Thorfinn, Sigurd’s son, whose character and appearance have been thus described:--‘He was stout and strong, but very ugly, severe and cruel, but a very clever man.’ The extensive districts then dependant upon the Moray Maormors were in the possession of the celebrated Macbeth.”[114] Duncan, in 1033, desiring to extend his dominions southwards, attacked Durham, but was forced to retire with considerable loss. His principal struggles, however, were with his powerful kinsman, Thorfinn, whose success was so great that he extended his conquests as far as the Tay. “His men spread over the whole conquered country,” says the _Orkneyinga Saga_,[115] “and burnt every hamlet and farm, so that not a cot remained. Every man that they found they slew; but the old men and women fled to the deserts and woods, and filled the country with lamentation. Some were driven before the Norwegians and made slaves. After this Earl Thorfinn returned to his ships, subjugating the country everywhere in his progress.” Duncan’s last battle, in which he was defeated, was in the neighbourhood of Burghead, near the Moray Frith; and shortly after this, on the 14th August, 1040, he was assassinated in Bothgowanan,--which, in Gaelic, is said to mean “the smith’s hut,”--by his kinsman the Maormor Macbeda or Macbeth. Duncan had reigned only five years when he was assassinated by Macbeth, leaving two infant sons, Malcolm and Donal, by a sister of Siward, the Earl of Northumberland. The former fled to Cumberland, and the latter took refuge in the Hebrides, on the death of their father.