Ieuaf was the son of Adda ap Awr Trevor and Tanglwystl verch Iorwerth. The date and place of his birth have not been found.
His wife was Myfanwy verch Madog. They were married, but the date and place have not been found. Their three known children were Adda Goch ap Ieuaf (?->1356), Hywel ap Ieuan (?-?) and Llewellyn ap Ieuaf (?-?).
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