The following Texas Light Batteries were serving in the District of Louisiana (part of the Trans-Mississippi District) at the time of the Red River Campaign.

Gibson's battery (also known as 16th Texas Light Battery)

Krumbhaar's Battery, Capt W.B. Krumbhaar, also Capt. William M Stafford

McMahon's Battery, Capt. M.V. McHahan, raised as heavy artillery but serving as light artillery April 1864.

Mosely's Battery, (also known as 7th Texas Light Battery)

Pratt's Battery, Capt. J.H. Pratt, also Capt. H.C. Hynson,

(also known as 10th Texas Light Battery)

Daniels Battery, Capt James M. Daniels

Edgar's Battery, Capt. William Edgar

(also known as 1st Texas Light Battery )

Valverde Texas Light Battery, Capt. T. D. Nettles, Capt Joseph D Sayers

There may have another. Hope this helps
Ron