Maybe this is interesting for your research: FamilySearch catalog has baptismal records since 1682 for Ayotlan / Ayo el Chico.
However, Today I Found 20 years records of Pre 1682 bapismal records for Ayotlan exactly of the period March 4, 1662 - April 28, 1683
The records are in this film: Mexico, Jalisco, Catholic...Church Records, 1590-1979 Ayotlán San Agustín Bautismos de hijos legítimos 1717-1726
Starting on IMAGE 174 until end of film
https://familysearch.org/ark:/61903/3:1:9392-F4GK-5?cc=1874591&wc=3JHC-…
Saludos!!
Gabriel E. Aguirre