Question regarding first names

Dear NR primos,
Would it be common to have different children named "Jose Maria" + a different middle name?

I have been looking for "Jose Maria Gonzalez Ledesma" and I believe I have found him. His baptism is given in acta #3167 in the 1790 Baptisms in Calvillo:
https://www.familysearch.org/pal:/MM9.3.1/TH-266-11107-161431-98?cc=1410092&wc=6808556

But the first name of this child is "Jose Maria Nicolas." The date fits and I haven't seen another Nicolas Gonzalez in the family tree and that is why I think this is THE ancestor I've been searching for. I have also considered the possibility that this child died and the parents had another on and simply named him "Jose Maria," and I'll investigate this at a later point in time.

Thanks for your input.

Arturo G