Both the names Inigo and Ignacio are the same name.
According to Hanks & Hodges, they stem from the Latin "Egnatius", "a Roman family name of uncertain, probably Etruscan, etymology. The spelling *Ignatius* appeared in the early Christian era, partly due to folk etymological associations with the Latin *ignis*, fire. In this form the name was borne by an early bishop of Antioch who was martyred at Rome under Trajan. As a given name it was not common in the Middle Ages, and the surname is correspondingly infrequent. Its comparative popularity in Catholic countries today is due to the fame of St. Ignatius Loyola (Inigo Yanez de Onaz y Loyola, 1491-1556), founder of the Society of Jesus (Jesuits)."