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"The Monastic Annals of Teviotdale" by the Rev.James Morton, B.D. 1832 has this:
Wjlliam Douglas was abbot of Melros in the beginning of the eleventh century, if we may believe Dempster, who states it on the authority of a fragment of a catalogue of the abbots of this monastery, which he had probably seen. He is said to have been a favourite of St Fothad, bishop of St Andrews, who died in 962 ; and of Grime, King of Scots (presumably Kenneth III of Scotland, who died in 1003. The cloister of his monastery was built by him, at his own expense. He became confessor to Malcolm II, who succeeded King Grime, and he was still alive in 1011. He is said to have written De Proelio ad Achnabartj Lib. I. Pro Malcolmo Rege, Lib. I.f Shipsview (talk) 19:53, 29 April 2014 (UTC)