What does "C.C." stand for on a baptism?

Hi, I have recently noticed that in the baptisms of San Martin Hidalgo, Jalisco from the 1840s to the 1880s many baptisms have the letters "C.C.", "C.Y.", or "Y.Y.". In the baptism of María Demetria Quintero, just below her name are the letters "C.C.". Could these letters mean the parents "castas"? Does "C." mean criollo or castizo, and does "Y." stand for "yndio"? Note that during this time period the letter "i" was replaced with "y".

Here is the link to the baptisms
https://www.familysearch.org/search/image/show#uri=https%3A//api.familysearch.org/records/pal%3A/MM9.3.1/TH-1-18685-75932-87%3Fcc%3D1874591%26wc%3D11127049

Thanks,
Valente.