His profile give no wife, and no father.
His citation states
"He was the son of Engilbert III, Comte de Brienne and Windismodis (?).1 He married Peronelle (?) "
http://thepeerage.com/p11993.htm#i119928 which is citing BP1999 volume 1, page 226
His citation states
"Engilbert IV, Comte de Brienne was born in 995.1 He was the son of Engilbert III, Comte de Brienne and Windismodis (?).1 He married Peronelle (?)" Charles Mosley, editor, Burke's Peerage and Baronetage, 106th edition, 2 volumes (Crans, Switzerland: Burke's Peerage (Genealogical Books) Ltd, 1999), volume 1, page 226. Hereinafter cited as Burke's Peerage and Baronetage, 106th edition.
If his citations states he is son of Engilbert and husband of Peronelle, why is wife and father unknown?