The only certain documentary record for Gonzalo Vázquez was his presence at the 1540 muster as an unassigned horseman. As with other expeditionaries with so little information, Gonzalo may have died on the Expedition.
1530-1540:
?AGI, Pasajeros, L. 2, E. 3681= Boyd-Bowman, Indice geobiográfico, II:7284 [May 18, 1537, Gonzalo Vázquez, hijo de Rodrigo Vázquez y de Juana Martín, vecino de Ciudad Rodrigo, a Nueva España];
?AGI, Pasajeros, L.3, E.883 = Boyd-Bowman, Indice geobiográfico, II:1019 [son of Basco González and Isabel González, vecino of Badajoz, to Indies Oct. 1539]
?AGI, Contratación, 5787, N.1, L.4 [fols. 64r - 64v: October 8, 1536, Adjudicación de una casa para vivienda y escuela a Gonzalo Vázquez como maestro de Gramática en Nueva España];
1540-1550:
1540, Feb: Muster in Flint & Flint, Documents, Document 12 [1 horse, native arms]
1560-1570:
?Catálogo, Resumen e Índices [27 Oct 1562, El bachiller Gonzalo Vázquez, vecino, otorga poder general a Diego de Buitrago, procurador de causas, vecino. Firmó. Testigos: Juan Sánchez, Juan de Argumedo y Alonso de Alcohola, vecinos]
?AGN, Instituciones Coloniales, GD61, Inquisición, vol.16, exp.6, 1560 [fol.137: Mérida, 1560, case against Juan Vela for blasphemy; witness: 20 Mar 1560, Mérida, residente, 35 years old +/- (signed)]
?AHMC, Caja A5, Exp. 10, documento 124 [fol.1-34: April 10, 1568; Francisco de Frias, witness, alguacil mayor; witness: Gonzalo Vázquez]
1570-1580:
?AGN, Instituciones Coloniales, GD61, Inquisición, vol.111, exp.14, 1571 [fol.496: 9 Sept 1571, Mexico, heresy; labrador, vecino; lives Chapultepeq on a pueblo of indios called San Miguel, native of Villanueva de Balcarota, 50 years old, married with wife and children];
?Iglesia de Santa Vera Cruz, Registros Parroquiales, Bautismos, 1568-1615 [fol. 14r: November 14, 1571, baptism of Catalina, daughter of a Gonzalo Vázquez and Isabel González; padrinos are a Pedro López and his wife Catalina Bernal, vecinos de México];
?Catálogo, Resumen e Índices [1571, Gonzalo Vázquez, vecino, otorga poder general a Pedro de Mora, vecino, procurador de causas. Firmó. Testigos: Andrés de Morales y Alonso Vernal, vecinos];
?AGN, Instituciones Coloniales, GD23, Real Audiencia, Civil, vol.646, exp.5, 1572 [Jeronimo de Bustamante contra Gonzalo Vázquez, 1572; estante in Mexico; regarding the delivery of some fanegas de trigo; 23 Aug 1572, Bustamante says Gonzalo owes him money for 350 fanegas of wheat; Mexico, 19 Sept 1572, signature copied; Diego del Castillo confirms that he obligates himself to bring 350 fanegas of trigo from Coatepeque, Mexico, 7 July 1572 (signed)]
After 1590:
?Méndez Venegas, Emigrantes a América, #1836 [Extremadura, albacea for Francisca Gómez Rubio, Panamá, 1591]
?Méndez Venegas, Emigrantes a América, #756 [Extremadura, Pero Hernández Calvo, witness for González Vázquez in Cartagena, 1608; 7 people apart in Muster];
?Méndez Venegas, Emigrantes a América, #1042 [Extremadura, Alonso de Medina owes money to Gonzalo Vázquez, Cartagena, 1608];
?Méndez Venegas, Emigrantes a América, #1814 [Extremadura, natural de Oliva de Jerez (now de la Frontera), captain, lived in Cartagena; possessed a large fortune; founded 2 capellanías - 1 in Jerez, 1 in Oliva; aided many institutions]
Other info: ?AGN, Instituciones Coloniales, GD72, Real Audiencia, Mercedes, vol.5-6, segunda parte, exp. s/n, 1563 [fol. 551r: July 1563: a Juan de Betata is corregidor del pueblo de Teotenango; he is informed that the Indians of that pueblo have complained about abuse by their priest, Pero López Buitrago; they also complain about theft by four españoles: Vázquez, Castañeda, Jiménez, and Pedro Talavera; Betata is to investigate and punish the Spaniards if they are guilty];
?AGN, Instituciones Coloniales, GD51, Gobierno Virreinal, General de Parte, Vol.2, exp.652, 1580 [14 Mar 1580; Ysabel González, widow, has permission to cut 300 quartones de marca for her morada from the montes de Chalco and Talmanalco]