The only CW road I see through Cloutierville runs south along the Cane River through Monett's, then forks just above Henderson’s Hill and Cotile. From Henderson;s Hill it runs SW towards Hineston.
See OR Atlas, Plate 52-1
Plate 155 F-1 shows a road heading West out of Monett’s Ferry in the direction towards Kisatchie
Todays maps show State 119 heads south from just north of Cloutierville.