One theory is that a Saxon baron  named Arkyll received from Malcolm III of Scotland lands in Dumbartonshire and Stirlingshire. Also that Arkyll married a Scottish heiress and had a son who was Ailín I, Earl of Lennox. Other historians have said that the earldom of Lennox was conferred to David, Earl of Huntington from his older brother, William the Lion and that the Lennox family was not established until after the reign of William.
One theory suggests that a Saxon baron named Arkyll received lands in Dumbartonshire and Stirlingshire from Malcolm III of Scotland. Another theory states that Arkyll married a Scottish noblewoman, had a son who became Ailín I, Earl of Lennox, while other historians propose that the earldom of Lennox was bestowed upon David, Earl of Huntington by his older brother, William the Lion, and that the Lennox family did not emerge until after William's reign.