Kent,

Here is what little I have on this unit, I hope it will help you.

The Texas 10th Field Artillery Battery organized on March 1st, 1861. It was armed with six guns on May 20th, 1864.
It was armed with four guns on November 19th,1864. Designated as the 10th Field Artillery Battery on November 19th, 1864. It had no guns and was serving with the department's reserve artillery, battalion in May 1865.

Battles:
Little Rock Campaign - Aug.-Sept. 1863
Pine Bluff - Oct. 25th, 1863
Lake Chicot - June 6th, 1864
Price's Missouri Raid - Aug.-Dec. 1864

Further Reading: Anne J. Bailey, Between the Enemy and Texas: Parson's Texas Cavalry in the Civil War.

Thanks,
Gary D. Bray