My suggestion is to go to familysearch.org, bring up Mexico, then Jalisco. Plug in his name, approximate birthdate, spouse name, and see what comes up. His baptism and/or marriage record should be among the results. Find the original records by looking through familysearch.org's copies of the original Catholic Church records and they should tell you the parents names. You can go on from there.
You will have to learn how to use familysearch if you don't already know. Searching the original recordings by the Catholic church is time consuming but rewarding, if you are serious about your research.
It is a free website and has much information for research in Mexico.