Rosey Walck
The oldest grave I know of in the cemetery is that of Rosey Walck, who died when she was fifteen months old.
She is buried near Andrew Jackson Walck and Melvina Rader Walck, whom I believe to be her parents. (She is listed in some Family Trees on Ancestry.com as Rosey Gertrude Walck, and as their daughter.)
Red Bud Catholic Cemetery 
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This is great information. I have visited the cemetery with my parents/grandparents since the 1950’s and remember my Dad telling stories about the priest there. My Great-Grandparents are buried in Redbud Cemetery. I wish you had a way to post photos to your site.
You can see Linda’s photos and other memories of Red Bud on this post: https://wp.me/p4lhv9-T If you have photos or memories of your own, contact me at redbudcatholiccemetery @ yahoo.com — eliminate the spaces in that address.