Hola prim@s,

This is the Ejecutoria del pleito de hidalguía filed by Licenciado Diego Hernández de Vergara, dated 12 Jul 1548: http://pares.mcu.es:80/ParesBusquedas20/catalogo/description/5703246 
Licenciado Vergara was a 1st-cousin of treasurer & governor Alonso de Estrada, according to the very detailed genealogy given by Estrada’s cousin, Mari Fernández Hidalgo, in the 1585 limpieza of Jorge de Alvarado y Villafañe: https://www.familysearch.org/ark:/61903/3:1:3Q9M-CS2D-KSYH?cat=630488 
The genealogy given in this document coincides perfectly with that genealogy. It even goes back one more generation, and names Licenciado Vergara’s (and Estrada’s) great-grandfather as Juan Alonso, vecino de Ciudad Real (who apparently received a carta ejecutoria de su hidalguía from King Pedro de Castilla). Here’s what the family tree now looks like:

1st generation: Juan Alonso cc ?

2nd generation: Diego Hernández Hidalgo cc Mari González de Estrada

3rd generation:
a. Diego Hernández Hidalgo “el Mozo” cc María González de la Mora (abuelos de Mari Fernández Hidalgo). 
b. Anton Hernández Hidalgo cc Inés González (padres de Lᵈº Vergara). 
c. Fernando Hidalgo cc Francisca de Mazariegos (padres de Diego Mazariegos). 
d. Juan Hernández Hidalgo cc ? (padres de Alonso de Estrada).

This pleito was cited in the one filed on 22 Aug 1552 by Alonso de Estrada’s son, Luis Alfonso de Estrada, before the Sala de Hijosdalgo of the Chancellería de Granada. In that pleito, Luis Alfonso names his paternal grandfather as Juan Hidalgo, carpintero; according to Vergara’s pleito, Diego Hernández Hidalgo “el Viejo” was also a carpenter.

I hope you’re all doing well!
Saludos,
Manny Díez Hermosillo