I now see that date, my mistake-- apologies.
Have you tried to find him in a consolidated unit(s)?
Have you eliminated these men from Alabama as being your ancestor? There are 4.----
https://www.nps.gov/civilwar/search-soldiers.htm#sort=score+desc&q=William+Braden&fq%5B%5D=Side%3A%22Confederacy%22&fq%5B%5D=State%3A%22Alabama+%22