Swisher Cemetery, formerly called Garza cemetery, is hardly the oldest in the area, but I did see graves dating back to 1879. It is active still. It's well-kept, with many trees and a peaceful atmosphere, which is just how cemeteries should be. Make the easy find, then take a minute to enjoy the quietude and perhaps reflect on the brevity of life. Of course, if this type of cache makes you uncomfortable, please add it to your ignore list, and no hard feelings.
Congratulations to cache_in_hand for the FTF!
Props to perseid88 for allowing me to piggyback on his excellent series.