Army Airway Communications Service (AACS)

Here is a Table of Organization you may fine interesting.
 
 1-447 (23 Dec 43) Region Control Headquarters and Army Airways Communication Squadron:

Unit                                       Off    WO      Enl
Region Control Headquarters    8                 12
Army Airways Communication Squadron:
Squadron Headquarters            3      1         10
Class A Station                        2                 24
Class B Station                        1                 12
Class C Station                        1                 11
Class D Station                                           5
Class E Station                                            4
Class IL Station                                          10
Class P Station                        1                   8
Class R Station                                            8
Class RT Station                      1                 16
Class T Station                        1                  5
Class X Station                        1                  5
Class Y Station                                            9
Class Z Station                                            6
Cryptographic Sections:
    Class I Station                    4                  16
    Class II Station                   2                  8
    Message Center                                     10
 
Each squadron had a variable number of each class of station, so that no two squadrons had the same strength.

This T/O was of course was only a summary.  The original has way more detail.  If you ever research the AAF Weather Service, it was organized very similar.

Probably the best book about AACS in WW II (if you can find it) is Louis Shores' Highways in the Sky.
It all began as the Army Airways Communications System in 1938. This AACS was a named function, not an organization.  Its first three squadrons, (1,2,3 Comm Sqs) were not assigned to it, but to the 3 tactical wings.  After a fourth squadron was activated in 1940, the squadrons eventually were assigned to the four continental air forces.  However, AACS managed their operations, which centered around air traffic control -- which in those days included a lot of TTY and not much voice outside local control towers.  They also provided the comm support for weather units.
With the addition of more squadrons/regions in the US and overseas, by early 1944, there were 24 Airways Communications Squadrons (as they had been redesignated).
In April 1943, the AAF formed Flight Control Command in Ashville, NC.  One of its key components was the Army Airways Communications System Wing, which was the beginning of AACS as an organization.  Airways Communications Squadrons in the US were assigned to it.  About a year later, overseas squadrons came under the jurisdiction of AACS through intermediate Airways Control Areas.  AACS came directly under Hq, AAF in summer 1943 and dropped the "Wing" in Apr 1944, and after WW II substituted "Service" for "System."
In May 1944, AACS disbanded its existing units and came under the AAF Base Unit system.  However, in common use, the proper designations of the AAF Base Units were not used, but their parentheticals were.
The 85th through 92d AAF Base Units replaced the Airways Control Areas.  These were the 1st through 8th AACS Wings.
The 51st through 74th AACS Groups (technically lettered sections of the AAFBUs) replaced the existing squadrons.
New squadrons were formed where there were large detachments (again lettered sections of the AAFBUs), initially numbered as the 101st through 157th AACS Squadrons.
 
Non AACS AAF units handled:
Some tactical comm (Tactical Air Comm Sqs)
 
Signal Corps units handled:
Other tactical comm (done by Signal Battalions, Tac Air Command, Signal Companies Wing, Signal Companies, AF)
Base comm (done by Signal Companies, Service Group)
Installation and maintenance (done by Signal Construction Battalions and Companies, Signal Companies, Depot, Signal Equipment Installation Units, Signal Radio Maintenance Units, etc.)

More detail on the AACS mission, from the original document establishing the system:
"the operation of all fixed Air Corps radio facilities installed for the purpose of facilitating air traffic between Army flying fields in the continental United States."
As to command, the same document states that the system "will be operated under the direction and control of the Chief of the Air Corps.", but "The First, Second and Third Communications Squadrons will be assigned to the First, Second, and Third Communications Regions, respectively."
In the History of AACS in WW II, speaking of 1943, justifying the establishment of the first Airways Control Areas "Overseas regions were attached to theater Air Forces in combat areas and to Air Transport Command in noncombat areas."
I believe that the arrangement for most of this period was the same as pertained until 1991.  AACS/AFCS/AFCC squadrons were adminstratively assigned to a central headquarters, but attached to the local operational unit. (When I commanded a Comm Sq, my squadron was assigned to Southern Communications Area, but attached to the 22nd Combat Support Group (SAC), and my report card was written by the Group Commander, not the Area Commander.)

I'm surprised you were able to get a copy of Shores' book so fast.  I read it over thirty years ago.  Probably remembered the title because of its overuse.
If my scanner stops being cranky, Ill send you a copy of the Adjutant General letter if you can give me your email in a PM,

Warren, 
Thanks for the response.  Anything you would like to share, I would appreciate receiving.  I will send a pm with my email address.
Looks like your father retired the same year I entered active duty!

I can tell you that the 435th Sig Hv Const Bn, has nothing to do with the AACS, nor is it related to, or assigned to any combat or service group.  It was assigned directly to the Twelfth AF.