My mistake... this appears to be the unit that Coleman commanded in 1862? Here is what I think I understand about Coleman's various commands....
Coleman apparently originally commanded 4th Cavalry, 7th Division, Missouri State Guard. This unit is sometimes identified as the 4th Missouri Cavalry, but that designation appears to actually belong to a unit commanded by Colonel John Q. Burbridge, Lieutenant Colonel William J. Preston, and Major Dennis Smith.
In August 1862 Coleman as ordered to dismount is unit. He refused to comply with the order but apparently parts of the unit, were dismounted and helped form the 10th Missouri Infantry. "Men of the Tenth Missouri Infantry" by Wayne Schnetzer (Two Trails Publishing) Coleman was ordered to leave Missouri and report to Pocahontas, AR. Coleman refused and was dismissed (around August 31, 1862). At that time part of his command including a battalion under Alexander E. Steen was dismounted and would become Companies C, D, F, G and I of the 10th Missouri Infantry Regiment.
Coleman refused the consolidation and apparently departed with about 5 companies. Coleman then operates mainly in Missouri under the Partisan Ranger Act. He continues to defy Confederate orders to join regular confederate forces and is apparently eventually placed under arrest for a period of time. He is released in early 1864 and winds up in NE Arkansas working with Shelby to organize new units. After he gets the 46th Arkansas Mounted Infantry stood up, he leaves Crabtree in command and then moves back to Missouri, ahead of Price, and reforms his Partisan unit. It appears that he and Crabtree had separate commands. Crabtree was probably in McCray's Brigade under Fagan, and Coleman loosely operated under Shelby.
Kenneth E. Weant, Civil War Records, Missouri Confederate Calvary, Volume 3, Boone's regiment to Woodson's Company, pages 24-34. FHL book 977.8 M2wkm v. 3 List the following company commanders.
Company A - Captains Stephen H. Darden, R.L. Wells
Company B - Captain William Coats
Company C - Captain William Wilson
Company D - Captain William Nicks
Company E - Captain William Walker
Company F - Captain W. J. Cooper
Company G - Captain Franklin Smith
Company H - 1st Lt. A. Shelton
Company K - Captain James G. Hardin
Your identification of Wile C. Jones a Captain of Company E is supported by this report
Wiley C. Jones, Captain, Company E, Coleman's Regiment Missouri Cavalry, captured in Lawrence County, Arkansas June 17, 1862, received at Gratiot St. Prison, St. Louis, Mo., from Smithville, Ark., June 27, 1862, forwarded July 19 to Alton, Illinois Military Prison, delivered to Aiken's Landing, Va. for Captains exchange, n.d., no further records
M322: Compiled Service Records of Confederate Soldiers Who Served in Organizations from the State of Missouri