Is he off a generation or two?
Conde Nuño Laynez Is showing currently as son of Laín Fernández, Rico-Homem & Tigridia Díaz de Saldaña
Medlands shows him as son of FLAÍN Díaz & his wife ---
Genealogy
< Medlands >
MUNIO Flaínez, son of FLAÍN Díaz & his wife --- (-[31 Oct 961/19 Jun 962]). "Osorio Monniz, Monnio Gudesteiz, Diaco Romaniz, Monnio Flainiz, Veremudus Flainiz" confirmed the charter dated 1 Jan 943 under which King Ramiro II granted to “Vermudo Nunniz” property confiscated from “Dom Patre”[962]. … m (before 13 Aug 947) FROILOBA Vermúdez, daughter of VERMUDO Núñez Conde en Cea & his first wife Argila -- . …
Also see:
https://www.geni.com/documents/view?doc_id=6000000194713078822
From Torres Sevilla-Quiñones de León, Margarita Cecilia, "El linaje del Cid", Annals of the University of Alicante. Medieval History. n.º 13 (2000-2002). ISSN 0212-2480, pp. 343-360. < PDF > Page 19