At least one section of guns were in Gen. Stephenson's division during the Vicksburg campaign and a plaque was dedicated ca 1907 at the Vicksburg Military History Park.

In their CW Unit Bibliographies at the US Army Military History Institute at Carlisle Barracks, we find for the Botetourt Artillery:

http://ahecwebdds.carlisle.army.mil/awapps/main.jsp?flag=browse&smd=2&awdid=18

Title: Botetourt Battery Virginia Light Artillery
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Botetourt Battery Virginia Light Artillery

Confederate Military History, Extended Edition. Vol. 4: Virginia. Wilmington, NC: Broadfoot,
1987. 1295 p. E484C65.1987v4.
Contains numerous, scattered references to Virginia units.

Crute, Joseph H., Jr. Units of the Confederate States Army. Midlothian, VA: Derwent, 1987. Ref.
See p. 395 (1 photocopied page) for a concise summary of the battery's service.

Dedication of the Virginia Tablet in the Vicksburg National Military Park, Friday Evening, Nov. 22,
1907: Exercises in the First Baptist Church, Vicksburg, Miss. Vicksburg, MS: MS Prtg Co, 1907? 23 p. (12 photocopied pages). E58l.8.BotBtry.D44.

Markham, Jerald H. The Botetourt Artillery. Lynchburg, VA: Howard, 1986. 95 p. E58l.8.BOT.M34.

Sifakis, Stewart. Compendium of the Confederate Armies: Virginia. NY: Facts on File, 1992.
p. 25 (1 photocopied page). E581S53. (Unit organizational history).

Wallace, Lee A., Jr. A Guide to Virginia Military Organizations, 1861-1865. Lynchburg, VA:
Howard, 1986. p. 19 (1 photocopied pages). E581.4W35. (Brief unit history).

Winschel, Terrence J. "Virginians Far From Home: The Botetourt Artillery at Vicksburg." Jrnl of
Confederate Hist V: pp. 149-60 (7 photocopied pages). E487J77v5.
First of a three-part article.

A Goggle search will yield additional items.

George Martin