Not sure if this is the type of info you are looking for. Searches of the various regimental histories will provide more info. Almost all of the action prior to the Battle of Mansfield was carried out by Union cavalry. Books written about the Red River Campaign describe much of the action:
Henderson Hill - March 21
Many or Ft Jessup
Crump's Corner
Wilson's Farm - April 7
Carroll's Mill - April 7
Sabine Crossroads or Mansfield - April 8

Department of the Gulf Order of Battle for the Red River Campaign

Cavalry Division - Brig. Gen. Albert L. Lee

First Brigade—Col. Thomas J. Lucas
14th New York Cavalry—Maj. Abraham Bassford
16th Indiana Mounted Infantry—Lt. Col. James H. Redfield
2nd Louisiana Mounted Infantry—Maj. Alfred Hodsdon

Third Brigade—Col. Harai Robinson
1st Louisiana Cavalry (U.S.)—Maj. Algernon S. Badger
87th Illinois Mounted Infantry—Lt. Col. John M. Crebs

Fourth Brigade—Col. Nathan A. M. “Goldlace” Dudley
2nd Illinois Cavalry—Maj. Benjamin F. Marsh Jr.
3rd Massachusetts Cavalry (31st Massachusetts Mounted Infantry)—Lt. Col. Lorenzo D. Sargent
2nd New Hampshire Cavalry (8th New Hampshire Mounted Infantry)—Lt. Col. George A. Flanders

Fifth Brigade—Col. Oliver R Gooding
18th New York Cavalry, Companies K and D—Capt. William Davis
3rd Rhode Island Cavalry (detachment)—Maj. George R Davis
2nd New York Veteran Cavalry (?)—Col. Morgan H. Chrysler