subdued by King William, 87;
earl Ragnvald's half conferred on Harald Ungi, 87;
earl Harold slew earl Harald Ungi, 87;
Caithness given to Ragnvald Gudrodson, 88;
who defeated earl Harold at Dalharrold, 89;
Ragnvald's stewards left in charge, their fate, 89;
the lawman, 89;
Ragnvald bought earldom, 89, 90;
extent of earl Harold's earldom, 90;
Scottish policy in the north, 91;