What records for Confederate soldiers which exist are found in the Compiled Service Records held at the National Archives in Washington, DC. These have been transcribed and can be obtained through the Fold3.com subscription service.

Other than that source, Ancestry.com has access to many other pertinent records.

Here are two other possibilities:

T. M. Perdue, Private, Company D, 4th Cavalry (McNeill’s) , formerly 19th Battalion Louisiana Cavalry, paroled at Monroe, La. June 14, 1865, resident of Union, La.
[Only one card in his file]

19th Louisiana Cavalry Battalion, organized with six companies ca. September 1863. Increased to a regiment and designated as the 4th Cavalry Regiment ca. January, 1864

4th LA Cavalry, organized by the increase of the 19th Cavalry Battalion to a regiment ca. January 1864. Surrendered by General E. K. Smith, commanding Trans-Mississippi Department, on May 26, 1865

There are no company muster rolls found in the Compiled Service Record file for McNeill’s regiment

…

T. H. Pardue, Private, Company G, 46th Mississippi Infantry, captured in hospital, General Smith’s Division) at Vicksburg, Miss. July 4, 1863, paroled ca July 16, no further information

Company G -- Singleton Guards (raised in Smith County, MS)
Perdew