De Burgh was the fifth and last surviving son of Richard, Lord of Connaught and Earl of Ulster. His elder brother, John de Burgh, died at Galway in 1313 and was survived by a son, William, who became the 3rdEarl of Ulster. Edmond lived in what is now County Limerick, where his personal estates lay. He was the father of at least two children, Sir Richard Burke and Sir David Burke, both of whom were alive in 1387. Sir Richard was the father of Walter and Uileag Carragh, who were the ancestor of the Burkes of Castleconnell and Brittas, and Burkes of Cois tSiúire, respectively. Sir David was the ancestor of the Burkes of Muskerryquirk. All three septs would be collectively referred to as the Burkes of Clanwilliam.
The murder of William de Burgh, 3rd Earl of Ulster in June 1333 led to a three-way struggle among the leading members of the de Burgh/Burke family for supremacy. Edmond was the seniormale member of the family, as he was uncle to William Donn and eldest surviving son of the 2nd Earl. He fought against his cousins in Connacht in an attempt to control the vast de Burgh estates, both for his personal estates and that of his grand-niece, Elizabeth de Burgh. Because none of the three main contenders could overcome each other, the de Burgh lands in Ulster were almost entirely regained by the Gaelic-Irish, while Connaught was split in half between the cousins Edmond Albanach de Burgh of north Connacht and Ulick Burke of Annaghkeen in south Connacht. By 1340, the family had divided into three separate, independent lordships:
Edmond died in 1338 when he and his men were trying to visit the Augustinian Friars in the town of Ballinrobe. A band of men headed by Edmond Albanach Burke forcibly entered the monastery and seized Edmond after a short resistance. Edmond was taken prisoner and carried all the way to Oilean-an-lara. He was drowned in Lough Mask. The incident is recorded in the Annals of the Four Masters:
M1338.3. The son of the Earl of Ulster, i.e. Edmond, was taken prisoner by Edmond Burke, who fastened a stone to his neck and drowned him in Lough Mask. The destruction of the English of Connaught, and of his own in particular, resulted from this deed. Turlough O'Conor afterwards banished Edmond Mac William Burke out of Connaught, after the territories and churches of the west of Connaught had been greatly destroyed between them; and O'Conor then assumed the sway of the whole province.