Doesn't look like the Confederates had a coherent force.
Operations around Fayetteville (October 25–November 4, 1864)
Principal Commanders:
Colonel Marcus LaRue Harrison (US); William “Buck” Brown and Colonel William H. Brooks (CS)
Forces Engaged:
First Arkansas Cavalry (US); Guerrilla units assembled as Brooks’s cavalry
http://www.encyclopediaofarkansas.net/encyclopedia/entry-detail.aspx?entryID=7473