He was buried at the Abbey of Arbroath, founded by him in honour of St Thomas of Canterbury, who had worked a strange posthumous miracle in Scotland.

William was succeeded by his son, Alexander II.
(1214-1249).
ALEXANDER II.
Under this Prince, who successfully put down the usual northern risings, the old suit about the claims to Northumberland was finally abandoned for a trifling compensation (1237).

Alexander had married Joanna, daughter of King John, and his brother-in-law, Henry III., did not press his demand for homage for Scotland.

The usual Celtic pretenders to the throne were for ever crushed.

Argyll became a sheriffdom, Galloway was brought into order, and Alexander, who died in the Isle of Kerrera in the bay of Oban (1249), well deserved his title of "a King of Peace." He was buried in Melrose Abbey.