Regan,

Below is a short history of the unit and its service from "A Compendium of the War of the Rebellion" by Frederick H. Dyer. while it does not specify individual companies within the 1st LA. (Union) Cavalry, it does give a fairly complete regimental history with a listing of the battles they would have participated in.

1st Regiment Louisiana Cavalry (Union)

Organized at New Orleans, La., August, 1862. Attached to Weitzel's Reserve Brigade, Dept. of the Gulf, to January, 1863. Unassigned, 1st Division, 19th Army Corps, Dept. Gulf, to May, 1863. Cavalry Command, 19th Army Corps, to August, 1863. Defenses of New Orleans, La., to September, 1863. 1st Brigade, Cavalry Division, Dept. Gulf, to January, 1864. 3rd Brigade, Cavalry Division, Dept. Gulf, to July, 1864. Separate Cavalry Brigade, 19th Army Corps, Dept. Gulf, to August, 1864. Morganza, La., to December, 1864. Separate Cavalry Brigade, Reserve Corps, Military Division West Mississippi, to February, 1865. Separate Cavalry Brigade, District West Florida, to March, 1865. 1st Brigade, Lucas' Cavalry Division, Steele's Command, Military Division West Mississippi, to April, 1865. 3rd Brigade, Cavalry Division, Dept. Gulf, to July, 1865. Dept. of the Gulf to December, 1865.

SERVICE--Duty in the Defenses of New Orleans, La., until October, 1862. Operations in District of La Fourche October 24-November 6. Capture of Donaldsonville October 25. Georgia Landing, near Labadieville, October 27. Engagement on Bayou Teche and capture of Gunboat "Cotton" January 14, 1863. Skirmish at Indian Village January 28. Operations on Bayou PIaquemine and the Atchafalaya River February 12-28. Operations against Port Hudson March 7-27. Skirmish, Brashear City, March 18. Operations in Western Louisiana April 9-May 4. Teche Campaign April 10-20. Pattersonville April 11. Fort Bisland, Bayou Teche, April 12-13. Porter's and McWilliams' Plantations, Indian Bend, April 13. Irish Bend April 14. Jeanerette April 14. Vermillion Bayou April 17. Expedition to Breaux Bridge and Opelousas April 17-21. Occupation of Opelousas and Washington April 20. Expedition from Opelousas to Barre Landing April 21-26 (Co. "F"). Skirmishes at Bayou Boeuf and near Washington April 22 (Co. "F"). Near Washington May 1. Reconnaissance from Baton Rouge May 2 (1 Co.). Scouts from Merritt's Plantation on Clinton Road May 14. Boyce's Bridge, Cotile Landing, May 14. Advance on Port Hudson May 16-24. Operations about Merritt's Plantation and on Bayou Sara Road May 18-19. Near Cheyneyville May 18 and 20. Plain's Store May 21. Siege of Port Hudson May 24-July 9. Assault on Port Hudson May 27. Expedition to Clinton June 3-8. Pretty Creek, near Clinton, June 3. La Fourche Crossing June 20-21. Surrender of Port Hudson July 9. Engagement, Bayou La Fourche, near Donaldsonville, July 12-13. Moved to Thibodeaux August 2. Affair at Thibodeaux August 29-30. Western Louisiana Campaign October 3-November 30. Bayou Vermillion October 9-10. Grand Coteau October 16 and 19. Washington October 24 and 31. Opelousas October 30. Bayou Bourbeaux, Buzzard's Prairie, near Grand Coteau. November 2. Carrion Crow Bayou November 3. Vermillion Bayou November 8. Camp Pratt November 20. At New Iberia until December and at New Orleans and Franklin until March, 1864. Red River Campaign March 10-May 22. Marksville Prairie March 15. Monett's Ferry, Cloutiersville, March 29-30. Natchitoches March 31. Crump's Plantation April 2. Wilson's Farm, near Pleasant Hill, April 7. Sabine Cross Roads April 8. Pleasant Hill April 9. Grand Ecore April 16. About Cloutiersville and Cane River Crossing April 22-24. At Alexandria April 27-May 13. Retreat to Morganza April 13-20. Avoyelle's Prairie May 15. Mansura May 16. Yellow Bayou May 18-19. Expedition from Morganza to the Atchafalaya May 30-June 5. Livonia May 30. Duty at Morganza until November. (A detachment there until January, 1865.) Expedition to Clinton August 23-29. Olive Branch and Corette River August 25. Operations about Morganza September 16-25. Williamsport September 16. Moved to Baton Rouge November 19 and duty there until January, 1865. (Co. "K" detached in District of La Fourche until May, 1865. Expedition from Thibodeaux to Lake Veret and Bayou Planton January 30-31, 1865 (Co. "K"). Lake Veret January 30 (Co. "K"). Expedition to Lake Veret February 10-13 (Co. "K"). Scout from Bayou Boeuf to Bayou Chemise March 24. Expedition from Bayou Boeuf and Thibodeaux to Lake Veret, Grand Bayou and the Park April 2-10 (Co. "K"). Grand Bayou May 4. Expedition from Bayou Boeuf to Bayou De Large May 25-27.) Regiment, Davidson's Expedition from Baton Rouge against Mobile & Ohio Railroad November 27-December 13. Expedition from Morganza to Morgan's Ferry December 13-14 (Detachment). Moved to Barrancas, Fla., February, 1865. Campaign against Mobile, Ala., and its defenses March 18-April 9. March from Pensacola to Blakely, Ala., March 20-April 1. College Hill, Fla., March 21. Pine Barren Creek March 23. Canoe Creek March 25. Mitchell's Creek March 25. Pollard, Ala., March 26. Siege of Fort Blakely April 1-9. Expedition from Blakely to Claiborne April 9-17. Near Mt. Pleasant April 11. Duty in District of Alabama and in Dept. of the Gulf until December, 1865. Mustered out December 18, 1865.