Their claims to the kingship of Leinster were unopposed after the death of Áed mac Colggen in the Battle of Ballyshannon 738 (Aug 19). The dynasty then divided into three kindreds which rotated the kingship between 750-1050. This is unusual in early Irish history as it was the equivalent of keeping three oranges in the air (the east Ulster kingdom of Ulaid also rotated the kingship between families). Fourteen Uí Muiredaig kings (later to become the O'Toole family) were based at Mullaghmast/Máistín nine Uí Faelain kings (later to become the O'Byrne family) were based at Naas/Nás na Ríogh and ten Uí Dúnchada kings (later the FitzDermots) were based at Lyons Hill/ Líamhain nearest to Dublin city.