This interesting paper talks about the secession convention and the units that served from the N.E. parishes. It takes the interesting view that Ouachita and Caldwell parishes were opposed to secession in general. I don’t know if I agree with that. Judge for yourself:
https://www.louisianadigitallibrary.org/islandora/object/oplib-wpa%3A168
Ouachita Parish History Tidbits 