Gutierrez & Chavez of Zacatecas

Hello - I am having a difficult time trying to find my great grandfather's family history. His name is Blas Gutierrez and he supposedly was born in Sauceda de la Borda, Zacatecas Mexico in 1844. He died in Los Angeles on September 1, 1911. He was married to Maria Zubiate Cisneros born 1859, she died Dec. 7, 1908 in Los Angeles, California. I found his internment record and tried to find more information through the mortuary with no luck.
I don't have another surname for Blas but my mom's oldest sister says she remembers that he might have had another first name of Cornelio. I haven't been able to find a Cornlio Blas Gutierrez yet. But I also wonder if Blas is a nickname for another first name, for example I have seen "Nelli" used as a nickname for Manuela",or "Cuca" for Refugia. He did have family in Los Angeles who came in the early 1900's and they were the Chavez's of Los Angeles. Perhaps I can search on the other first name.

I was hoping to have some success researching the Gutierrez line by following Blas Gutierrez's cousins.
The following people are related to Blas Gutierrez but I'm not exactly sure how he connects with them (1st cousin, uncle, brother). :

Maximo Gutierrez & Perfecta De La Rosa
Married Feb. 15, 1863 in San Juan Bautista,
Panuco Zacatecas, Mexico

Children:
Candelario Gutierrez & Anastasia Martinez
Married Jul 10, 1882, Sauceda de la Borda, Zacatecas Mexico

Maria Ynes Gutierrez & Gerardo Chavez
Married Feb. 4, 1884 San Juan Bautista, Panuco, Zacatecas Mexico
Gerardo age at Marriage: 19
Maria Ynes age at Marriage: 18

Thanks for any research recommendations on Zacatecas parishes or information on the Gutierrez/Chavez line from Zacatecas.
Yolanda