Gonzalo was the son of Fernando II Alfonso Fernández de Córdoba y Góngora and María Ruíz de Biedma. The date and place of his birth have not been found.
His wife was María García Carrillo y Lasso de la Vega. They were married, but the date and place have not been found. Their eight known children were Diego I (1355-1435), Pedro (?-c1379), Alfonso II (?-c1424), María (?-?), García (?-?), Leonor (c1362-c1430), Urraca (?-?) and Constanza (?-?).
| Attribute | Date | Description | Details | Source | Multimedia | Notes |
|---|---|---|---|---|---|---|
| Nobility Title | I señor de Aguilar | |||||
| Nobility Title | III señor de Cañete de las Torres | |||||
| Nobility Title | I señor de Priego |