[1] Melkorka Mýrkjartansdóttir, whose story is told in the Icelandic Laxdæla saga, claimed to be the daughter of Muirchertach.
Melkorka was sold as a slave to the Icelandic chieftain Höskuldur Dala-Kollsson, with whom she had an illegitimate son named Ólafur “Pái” Höskuldsson.
Muirchertach's father was killed in battle against the Norse-Gaels of Ireland near Dublin on 14 September 919 along with many other Irish kings.
[2] Muirchertach was a hardened warrior, and finally met his death in battle in 943 at the hands of Blácaire mac Gofrith, King of Dublin.
His obituary in the Annals of Ulster calls him "the Hector of the western world", and the "heir designate of Ireland".