Gonzalo was the son of Afonso Betote but his mother is unknown. The date and place of his birth have not been found.
His wife was Teresa Eriz de Lugo. They were married, but the date and place have not been found. Their five known children were Hermenegildo I González (?-c0950), Pelayo González (?-c0959), Aragonta González (?-0956), Iberia González (?-c0929) and Gontrodo González (?-c0929).
| Attribute | Date | Description | Details | Source | Multimedia | Notes |
|---|---|---|---|---|---|---|
| Nobility Title | conde de Galicia |