Was the following his family?
1870 Chimayo, Rio Arriba, New Mexico Territory
Jose Sena Martinez, b. NM, 45, farmer
Maria Clara, b. NM, 46
Jose de Los Angeles, b. NM, 16
Maria de Los Angeles, b. NM, 4
Maria Dolores, b. NM, 4
Jose Ramon, b. NM, 23, farm laborer
Maria Dolores, b. NM, 21
Paulita, b. NM, 1
Maria Juliana, b. NM, 3/12ths
If you decide that Jose and Maria were Jose's parents, then you can look for their marriage document.
Also if Jose Angel died when death certificates were being used in New Mexico, his parents will be on his death certificate if the Informant knew that info. They also might be in his obituary too.
They also could be on his marriage license. Successful Searching!