You can read this book here in pdf - Electric Scotland

PART IV
1107, Jan.
ANGLO-SAXON CHRONICLE, MS. E, S.A. 1107. 1
IN this year also died king Edgar, in Scotland, on the Ides of
January ;
2 and Alexander his brother succeeded to the
kingdom, as king Henry granted
him. 3
1107
AlLRED OF RlEVATJLX, EPISTOLA, IN TwYSDEN, COL. 367-368.
Edgar was a man sweet and lovable, like in all things to king
Edward [the Confessor], his relative, employing no tyranny,
no harshness, no greed against his people, but ruling his
subjects with the greatest charity and benevolence.
WILLIAM OF MALMESBURY, GESTA REGUM, VOL. II, p. 476. 4
When Edgar succumbed to his destined fate, Henry allied
to himself his successor, Alexander, giving him his illegitimate
daughter in marriage.
1 Cf. Ann. of Wav., in A.M., ii, 213. R.W., E.H.S. ed., ii, 184. M.P.,
Chr. Maj., ii, 134 ; H.A., i, 208. A letter of Anselm to Alexander on his
accession is in Migne, 159, ii, 166 ; H. & S., ii, 169-170.
2 13th January. It was the 6th of January according to Fl. of W., ii,
55 ; the 8th, according to S. of D., H.R., ii, 238 ; Hoved., i, 164 ; Chr. of
Melr., 63. The Durham obituaries place Edgar's death on the 8th January,
L.V.E.D., 140 ; the 9th, ibid., 149.
3 " As king Henry granted him," not in Fl. of W., S. of D., Hoved.
concession of king Henry," H. of H., 236.
" By
O.V., VIII, 20, in Migne, 188, 621 gives a confused account, omitting
"
mention of Duncan : But Donald, brother of king Malcolm, usurped the
kingdom, and for some time opposed [Edgar] cruelly. At last the vigorous
youth was- slain by his uncle. But Alexander, his brother, slew Donald
and received the kingdom. And thus, as the avenger and successor of his
brother, Alexander reigned for several years."
Alexander had been present in 1104 at Durham during the investigation
into the condition of Cuthbert's remains : De Mir. et Transl. S. Cuthb., in
S. of D., i, 258, 261. Cf. Fl. of W., ii, 53. S. of D., H.R., ii, 236. Hoved.,
i, 162.
Through support of Norman barons David forced Alexander to admit
his claim to southern Scotland. A. of R., De S., in Chr. of Ste., etc., iii,
193 ; infra, s.a. 1138.
4 Cf. O.V., VIII, 20, in Migne, 188, 621 :
" And [Alexander] took to
wife a daughter of Henry, king of the English, by a concubine. And
128