My great great grandfather was Jose de Jesus Carillo Sanchez and I believe he may have also used the Alvarez last name. But I'm not sure how that fits. He was married to Antonia Madero/a. They had many children, born in Huejuquilla el Alto, Jalisco and they later moved to Jerez, Zacatecas. My grandmother is Teresa de Jesus Sanchez, Roman by marriage. One of her brothers was a priest.
I'm looking for more information if you have any.