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Lady Aufrica de Say was born between circa 1148 and circa 1194.. WikiTree says she was born 1157 in Stirling, Stirlingshire, Scotland.
but she is not the daughter of Ermengarde De Beaumonts.. her mother is Isabel d'Avenel (Avenel), Mistress of King William..
William and Ermengarde's children were:
Margaret of Scotland, Countess of Kent (1193–1259), married Hubert de Burgh, 1st Earl of Kent
Isabella of Scotland, Countess of Norfolk (1195–1263), married Roger Bigod, 4th Earl of Norfolk
Alexander II of Scotland (1198–1249)
Marjorie (1200 – 17 November 1244), married Gilbert Marshal, 4th Earl of Pembroke
Out of wedlock, William I had numerous illegitimate children, their descendants being among those who would lay claim to the Scottish crown.
By an unnamed daughter of Adam de Hythus:
Margaret, married Eustace de Vesci, Lord of Alnwick
By Isabel d'Avenel:
Robert de London
Henry de Galightly, father of Patrick Galithly one of the competitors to the crown in 1291
Ada Fitzwilliam (c. 1164–1200), married Patrick I, Earl of Dunbar (c. 1152 – 1232)
Aufrica, married William de Say, and whose great-great-grandson Roger de Mandeville was one of the competitors to the crown in 1291
Isabella Mac William (born c. 1165) married Robert III de Brus (1183) then Robert de Ros (1191), Magna Carta suretor