Col. James K. Huey's Kentucky Confederate unit was given the designation of the Thirteenth Kentucky Cavalry in POW records. The unit had this designation before Col. Ben Caudill's eastern Kentucky unit originally known as the Tenth Kentucky, and now known as the Thirteenth Kentucky Cavalry. The National Archives collection of POW records bears this out conclusively, since POW records are all we have in the way of "Official Records" of Col. Huey's unit.

Here is some information on the unit.

Early in 1864, the Third, Seventh and Eighth Kentucky Infantry Regiments were mounted and did duty as cavalry, forming, with the Twelfth Kentucky Cavalry and Huey’s Battalion, the brigade of General Lyon, in Buford’s division of General N. B. Forrest’s command.

OFFICIAL RECORDS

PADUCAH, May 14, 1865.
Brig. Gen. WILLIAM D. WHIPPLE,
Chief of Staff:
The party sent out with flag of truce has just returned, bringing in the rebel Colonel Huey, and several other [officers] and men. I desire to administer the amnesty oath to Colonel Huey and several others whom I consider worthy. Shall I do it? Colonel Huey rendered valuable aid, encouraging others to surrender, and greatly desires to take the oath. He is a good man.
S. MEREDITH,
Brigadier-General.