Just looked him up. His appointment as major appears not to have been with the 13th Louisiana, although he had been a staff officer in the regiment.
Crouch, Walter V., 2nd Lt. A. C. S. Co. H. F. and S. 13th La. Infty. En. Camp Moore, La., Sept. 11th, 1861. Present on Roll for March and April, 1863. Roster dated May 15th, 1864, Apptd. 2nd Lt. Aug. 31st, 1861. En. Sept. 11th, 1861. Promoted A. C. S., Nov. 22nd. E. B. Musgrove, successor. Roster dated March, 1865, Promoted Major C. S., Oct. 28th, 1863. Successor, Ed. J. Foster.