William was born in 1792 in Glendine, County Cork to Henry Abraham a blacksmith and Margaret Broderick, the family moved to Headborough, Co. Waterford where William was brought up.
William Abraham studied for the priesthood in St. Patrick's College, Maynooth and following ordination he taught in St. John's College, Waterford.
In 1830 he was appointed Bishop of Waterford and Lismore, and consecrated on 21 March 1831 in Waterford. Mount Melleray Abbey was established under his jurisdiction in 1833. As bishop he was unpopular with Irish Nationalists and other Catholic clergy and was seen as favouring British government policy on a number of issues.
Bishop Abraham died on 13 January 1837.