Available records show only two men of the regiment captured at this time. I would assume A. L. Statham was initially confined at New Orleans, then Ship Island, Miss. as his two comrades below.

A J. Albritton
Enlisted on 6/12/1862 at Camp Moore, LA as a Private.
On 6/12/1862 he mustered into "H" Co. LA 3rd Cavalry
(date and method of discharge not given)
He was listed as:
* POW 7/9/1864 Port Hudson, LA
* Paroled 7/10/1864 Port Hudson, LA
* POW 11/18/1864 Liberty, MS
* Confined 11/20/1864 New Orleans, LA (Estimated day)
* Confined 12/13/1864 Ship Island, MS
* Transferred 5/1/1865 Vicksburg, MS
* Oath Allegiance 5/6/1865 Camp Townsend, Vicksburg, MS (Released)

T L. Andrews

Residence Wilkinson County MS;
Enlisted as a Private
He was listed as:
* POW 11/18/1864 Liberty, MS
* Confined 11/23/1864 New Orleans, LA
* Confined 12/10/1864 Ship Island, MS
* Exchanged 3/2/1865 Mobile, AL
* Oath Allegiance 5/12/1865 Gainesville, AL

Sources used by Historical Data Systems, Inc.:
- Index to Compiled Confederate Military Service Records
- Record of Louisiana Confederate Soldiers

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A. J. Abbritton, Private, Company H, 3rd (Wingfield's) Regiment Louisiana Cavalry, captured November 18, 1864 at Brookhaven/Liberty, Mississippi, transferrred to Ship Island, Miss. from New Orleans, December 10, 1864 arriving December 13, transferred to Vicksburg, Miss. May 1, 1865

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T. L. Andrews, Private, Company I, 3rd (Wingfield's) Regiment Louisiana Cavalry, captured at Liberty, Mississippi November 16/18, 1864, transferred to Ship Island, Miss. from New Orleans December 10, 1864 arriving December 13, paroled and exchanged March 2, 1865, surrendered with his command at Citronelle, Ala. May 4 and paroled at Gainesville, Ala. May 12, 1865

M320: Compiled Service Records of Confederate Soldiers Who Served in Organizations from the State of Louisiana