Death and succession
Estrada died in Mexico City in the period 1533 to 1537. An act of the Mexico City government dated September 22, 1533, refers to him as alive, and a letter from the viceroy to the king dated December 10, 1537, mentions him as deceased.
Alonso married Marina Gutiérrez de la Caballería, a woman from a prominent Jewish converso family of royal treasurers from Aragon, Spain. Their children included:
Fray Juan de Estrada, Benedictine monk and consultant of the Inquisition.
Luis Alfonso de Estrada, lord of Picón, alderman of Ciudad Real, administrator of the household of King Philip II, and noble mayor of the "Holy Brotherhood".
Luisa de Estrada, who married Captain Jorge de Alvarado, conquistador of Tenochtitlán, and brother of Pedro de Alvarado.
Marina de Estrada, who married Luis de Saavedra Guzmán, "encomendero" of Tilaltongo, a son of the Counts of Castellar, and descendant of the Dukes of Medina Sidonia.
Ana de Estrada, who married Juan Alonso de Sousa, treasurer of the New Spain after Alonso de Estrada, alderman of Mexico City, a son of Lope de Sousa de Portugal, governor of the Canary Islands, and Inés de Cabrera y Aguayo.
Francisca de Estrada, who married Alonso de Ávalos Saavedra, conquistador of Nueva Galicia, a son of Diego López de Saavedra and María Verdugo.
Beatriz de Estrada, who married Francisco Vázquez de Coronado, first governor and captain general of the Kingdom of Nueva Galicia. This marriage is the origin of the marquesses of Villamayor de las Ibernias.
David Raphael, anesthesiologist and author of " Conquistadors and Crypto Jews of Monterrey" is a descendant of Alonso de Estrada and Ana Caballeria. As well as film producer and screenwriter, L.R. Borbón (née Valadés) through their mutual descent of Don Alonso de Bracamonté, 1er Conde de Miravalle.