As the eldest son, Garci Lasso Ruiz de la Vega succeeded his father, Garci Lasso de la Vega II, as the head of his household.
Garci was the grandson of Garci Lasso de la Vega I, the chancellor of the Kingdom of Castile who was executed in 1326 by order of King Alfonso XI of Castile, and his wife Juana de Castañeda.
His father continued the trend of regal defiance and assassination and was killed in Burgos in 1351 by order of Peter of Castile.
The battle went poorly for the side of Henry II who was forced to flee and did not manage to recapture the throne until after the Battle of Montiel in 1369 where after he personally executed his half brother, Peter of Castile and claimed the throne.
The couple had one girl: The Cantabrian surname "Lasso de la Vega" was passed on through this maternal line at later times throughout the years and is associated with various soldiers, poets, and golden age writers such as Garcilaso de la Vega, the soldier and poet, and Inca Garcilaso, the historian from the Viceroyalty of Peru.