968 AD.105.Mahon the Heberian Dalcassian 39th King of Cashel / Munster together with his younger brother, *105.Brian Boru besieged the Viking Danes led by Ivar the Viking Chief who had now allied himself with two of the the unhappy Heberian Eoghanachta Chieftains, Donovan / Donnabhan from the Ui Fidgeinti Sept, who had their territory at Bally Hickey in Co. Cork in Southern Munster, and 109.Molloy / Mael Muadh from the Ui Raithlind Sept who had their terrtory in Co. Tipperary in the north - east of the Munster Province who both led their Eoghanachta followers against 105.Mahon's forces with the battle lasting from Sunrise to Sunset. Ivar, Donovan and 109.Molloy were able to escape capture and went overseas, and the sons of 104.Kennedy then became especially famous throughout Ireland for this particular outstanding victory, that had occurred at  Sologhead / Sulcoit in Co. Tipperary and from there the 104.Kennedy brothers moved onto Limerick the very next day taking the actual Viking settlement there, which they looted and burned, gaining many valuables, and thereafter good years were to follow as 105.Mahon the Heberian Dal gCais 39th King of Cashel / Munster instead of Co. Clare had decided to rule from Limerick in Co. Limerick from the Vikings where he could attempt to control the Viking Danes still throughout the region.

969 AD. Ivar, the Danish Viking Chieftain, returned and re - established himself on the islands off of Limerick in Co. Limerick in the mid - north - west of the Munster Province.

973 AD. 105.Mahon the Heberian Dal gCais 39th King of Cashel / Munster had by now established himself as the overall ruler in the east and the west of the Munster Province, and when the Abbot of Armagh visited Munster and personally clashed with the Abbot of Emly, 105.Mahon was able to settle the dispute in favour of the predominant Armagh.

974 AD. The Limerick region in Co. Limerick in the mid - north - west of the Munster Province was by now once again coming under the control of Ivar the Danish Viking Chief who had previously returned to the area and he began laying siege to 105.Mahon the Heberian Dal gCais 39th King of Cashel / Munster who was now set up there in Co. Limerick.

975 - 976 AD 105.Mahon the Heberian Dalcassian 39th King of Cashel / Munster was deviously entrappede by Donovan under a religious pact of obtaining peace and was then handed over to his enemies who butchered him under the command of Ivar the Danish Viking Chief, who along with his allies Donovan from the Heberian Eoghanacht Ui Fidgeinti Sept, and 109.Molloy / Mael Muadh from the Heberian Eoghanacht Ui Raithlind Sept,  the two Eoghanacht Chiefs, had gone into battle against him on the border of Co. Cork and Co. Limerick. For this betrayal they were both to be cursed by all of the clergy in the Munster Province and the Viking Danes were now invited back into the Munster region by Donovan and they soon began overrunning the surrounding area once again.

977 AD. *105.Brian Boru who was now the Heberian Dal gCais Ui Bloid Ui Turlough King of Thomond / Tuath Muma / Northern Munster was able to kill Ivar the Danish Viking Chief in a battle on Coney Island in Limerick in Co. Limerick in the mid - north - west of the Munster Province and he then cleared out all of his Viking followers systematically after conducting a rapid series off battles. 109.Molloy and Donovan the Heberian Eoghanacht Chiefs panicked and sent off for further assistance from Harold the Viking Dane who now styled himself the "Viking King of Munster." He put together a large Viking force and in the great battle that followed they where all killed by the Heberian Dal gCais forces under the leadership of 105.Brian Boru's teenage son, 106.Murrough / Murchad, and 105.Brian Brou  was then able to control the whole of Munster from his palace at Kincora in Co. Clare in the north - west of Munster.

978 AD. *105.Brian Boru the Heberian Dal gCais Ui Bloid Ui Turlough King of Thomond / Northern Munster became the Heberian Dalcassian 41st King of Cashel / Munster on the Rock of Cashel in Co. Tipperary in the north - east of the Munster Province and set about fortifying the settlements in Munster against the Vikings while besieging the Vikings head on throughout the region and drove them also out of the Shannon Islands, and also from the coastal region in the south - west of Co. Clare, and began to encourage the use of Eponymous Surnames. Au / O from the main son, mheic / mac from the second or other sons of outstanding ability.

981 AD. Known now as *105.Brian Boru - of the Tributes and as the Heberian Dal gCais King of Thomond / Northern Munster and 41st King of Munster he besieged the nearby Heremonian Ui Laoghaire Ui Connla kingdom of Ossory / Co. Kilkenny in the south - west of Southern Leinster in their territory adjoining Munster Province to begin his overall total subjection of the remaining Vikings and Southern Leinster itself situated in Mogha's Half / Southern Ireland.

983 AD. *105.Brian Boru - of the Tributes the 41st King of Cashel Munster submitted Southern Leinster in Mogha's Half and took hostages to ensure their obedience.

984 AD *105.Brian Boru as the Heberian Dal gCais 41st King of Munster was by this date supreme in Mogha's Half (Munster Province and Southern Leinster.)