The mission is a historical site and part of the 21 missions system of California. Services are still held there and it is open for tours and visits.
I would capitalize it, and use it as part of a name. There are many examples as city-names in California, such as Santa Ana, Santa Cruz, and Santa Inez. I am visiting relatives in Santa Inez next week.
Saint Inez
he got it from poo
Saint Inez
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Father Estevan Tapiz
Inez Vandeghinste has written: 'Inez Vandeghinste'
Mike Inez's birth name is Michael Inez.
Inez Harries's birth name is Inez Hesser.
Inez Almerfors's birth name is Inez Matilda Almerfors.
Inez Melson's birth name is Inez Marie Conroy.
Inez James's birth name is Inez Eleanor James.