Among my huge piles of notes are rough transcriptions from the National Archives. I have sifted through these notes and have found the following information that may be pertinent to you post.
The second set of notes that I took [long ago] for the 23rd Arkansas from Chapter I Volume 83 is apparently the entry that you mentioned. I do not know if this is available on microfilm or not. However, the research service available through this message board can be contracted to make hard copies of the written documents.
I presume that Major Black was listed as an acting LtColonel because of LtColonel Pennington's detached service as pointed out by Bryan.
[note-my difficulties in transcription of names often resulted in my own assumptions]
Box 1, Entry 100
Special Orders of General Van Dorn, Army of the West
# 54-# 118
April 18, 1862-June 19, 1862
S. O. # 61 April 22
"An election for field officers will at once be held in "Seward's-[sp?] Regiment" of Arkansas volunteers and the organization will consist of the companies of Captains Lyles, Adair, Hughes, Pennington, Willis, Black, Clendenning, Seward, Robinson and Johnston."
Appears that the above unit was eventually organized as Adams' regiment on April 25. Also appears that there was a lot of shuffling of companies before the final various regimental organizations were completed.
S. O. # 64 April 24 Memphis
I. The regiment under command of Captain Turnbull of the companies of Captains Reinhardt, Byers, Slowan [?], Hufstedtler, Morgan, Oates, Adams, Rodgers, McCoy, and Adair is hereby assigned to the brigade of Churchill.
XIII. Captain Adair's company will be organized with the battalions known as Hughes and Adams. It is relieved from duty under the orders of Captain Turnbull and Captain Adair will report his company to Major Hughes.
Chapter I Volume 1 3/4
Pemberton's endorsements on letters received 10/19/62-2/6/63
Nov. 7, 1862-reference made to Major E. L. Black's leave-"forward to Gen Beall [at Port Hudson]
[note: on similar requests for leave during this same period, Pemberton's endorsements indicates "no leaves at this time."]
Chapter I Volume 107 1/4
Adams' Arkansas regiment [23rd Ark]
Col Adams 4/25/62 originally entered CSA service 4/25/62 Colonel
LtCol S. P. Hughes 4/25/62 originally entered CSA service 3/27/62 LtColonel
Robinson [Robertson?] 4/25/62 originally entered CSA service 3/27/62 LtColonel
Chapter I Volume 105
Col C.W. Adams reorganization O. P. Lyles
LtCol S.P Hughes reorganization Pennington
Major Robinson [sp] reorganization Black
Chapter I Volume 83
23rd Arkansas: [field officers] effective Sept. 10, 1862
Black Major 9/10/62
[Pennington]-to LtCol 9/10/62
pencil notes apparently made by archivist:
Lyles' consolidated regiment 23/14/18 Arkansas
consolidated with Schelw[?]...regiment [could not transcribe accurately]
Pennington [to LtCol 9/10/62]
Record Group 109 Entry 65
Dept of Miss & E Louisiana folder 16
"List of Colonels in this command" December 1862
O. P. Lyles 23rd Arkansas Sept. 9, 1862