Terry, during the timeframe you asked about, the Gee-Johnson 15th Arkansas Infantry consisted of six companies (the other companies intended to complete the regiment had been assigned to other regiments, notably the 40th Tennessee Infantry). Following is a list of officers as of the surrender at Fort Donelson. With a couple of exceptions, these were also the original officers. I hope this is what you're looking for.

FIELD AND STAFF.
Colonel James M. Gee.
Lieutenant-Colonel John C. Wright.
Major Paul L. Lee.
Adjutant Benjamin W. Whitfield.

COMPANY A.
Captain Samuel L. Proctor.
Second Lieutenant Thomas M. Lewis.
First Lieutenant Quincy Couch.
Third Lieutenant William Couch, Jr.

COMPANY B.
Captain Henry M. Purifoy.
First Lieutenant William T. Steele.
Second Lieutenant Newton W. Ligon.
Third Lieutenant (vacant).

COMPANY C.
Captain Robert Jordan.
First Lieutenant John W. Walker.
Second Lieutenant William T. Wall.
Third Lieutenant Albert M. Reed.

COMPANY D.
Captain (vacant).
First Lieutenant Hugh B. Cobb.
Second Lieutenant Loderick W. Matthews.
Third Lieutenant William F. Davis.

COMPANY E.
Captain William H. Perkison.
First Lieutenant Theophilus Wilkerson.
Second Lieutenant James R. Giles.
Third Lieutenant (vacant).

COMPANY F.
Captain Alexander Byrne.
First Lieutenant Richard L. McClung.
Second Lieutenant John W. King.
Third Lieutenant Edward Rudd.