By his marriage with Ermengarde de Bellomont, he left four children; an only son, Alexander, who succeeded to the throne, and three daughters, Margaret, Isabella, and Marjory. Margaret, the eldest, was married to Hubert de Burgh, and left an only daughter, Magota, who died apparently at an early age. Isabella became the wife of Roger Bigod, Earl of Norfolk; and Marjory, who appears to have been celebrated for her beauty, which made a deep impression upon the susceptible heart of Henry the Third, was subsequently united to Gilbert the Mareschal, Earl of Pembroke, both the younger princesses dying without issue. The lengthened reign of William was the era of the more complete development of David’s changes in church and state; and Scotland, at the opening of the thirteenth century, was fast progressing towards the condition of a thoroughly feudalized kingdom in her more settled portions. Traces of her earlier institutions, however, were still abundant; the more lenient custom, for instance, of the allodial system, by which the property of the felon was not confiscated but descended at once to the heir, was confirmed as the general law of Scotland, the strict feudal theory being, in other words, relaxed in favour of “ancient custom;” though where the homicide, or cattle-lifter, escaped the penalty of the crime by flight, his property reverted to the lord, the heir only succeeding on the death of the forfeited proprietor. Even sedition against the king did not disinherit the heir, if the property was not held directly of the crown; but for treason against the royal person both life and lands were irretrievably forfeited. Another concession in favour of “ancient custom,” perhaps, is traceable in the permission granted to the kindred of a murdered man to take full legal vengeance on the homicide, even when under the protection of “the king’s peace,” if they could prove that their consent had not been obtained to compromise the feud; though, from the wording of the law in question, this relaxation of the royal power of pardoning the highest offences, may have been confined to the case of a murdered witness. In most other respects the usual feudal customs were generally established; the charter was required as a necessary document for every freeholder--a stringent enactment being levelled against all who were convicted of forging such evidence of rights to which they were not entitled; and the Visnet was fast becoming the recognised law of the land. Galloway alone formed an exception, in this point, to the rest of Scotland, retaining her ancient code; no Galwegian being judged by “the verdict of the neighbourhood,” except at his especial demand; but very strict rules were laid down for its substitute, “the wager of battle,”--a fine of _ten cows_ being enacted for speaking during the progress of a judicial combat; he who raised his hand, or made a sign, being “at the king’s mercy.” The fines