Is this William B. Denson the same man that commanded the 6th Louisiana Cavalry?

From a CMSR of a member of Morgan's Regiment Texas Cavalry (CS):

*This company subsequently became Company B, Morgan's Regiment Texas Cavalry.

Morgan's Battalion Texas Cavalry was organized with seven companies about November 23, 1863, by the consolidation of Major Charles L. Morgan's Squadron Texas Cavalry, Captain B.D. McKie's Squadron Texas Cavalry and Captain William B. Denson's Squadron Louisiana and Texas Cavalry. Three other companies were added at various times and the designation changed to Morgan's Regiment Texas Cavalry about February, 1865.

Thanks,

Jim