I found 4 Henson's the 23rd in the CW Database, but no Green.

However, the NPS Soldiers & Sailors System has him listed. Strange.

This is what I found in these two DBs. Unfortunately, the 23rds files have not been added to the Footnote Database.

George Martin

CW Database

John A. Henson

Residence Cherokee County GA;
Enlisted on 3/1/1863 as a Private.
On 3/1/1863 he mustered into "G" Co. GA 23rd Infantry
(date and method of discharge not given)
He was listed as:
* Hospitalized 2/20/1864 (place not stated)
* Wounded 2/20/1864 Ocean Pond, FL
* Absent 4/30/1864 (place not stated) (For wounds, no further record)

John Henry Henson

Residence Cherokee County GA; 23 years old.
Enlisted on 8/31/1861 as a Private.
On 8/31/1861 he mustered into "G" Co. GA 23rd Infantry
He was Surrendered on 4/26/1865 at Greensboro, NC
He was listed as:
* Wounded 2/20/1864 Ocean Pond, FL
* On rolls 4/30/1864 (place not stated)
Promotions:
* 4th Serg (In l863)
Other Information:
born 12/14/1837 in Georgia
died in 1926 in Bartow County, GA

John T. Henson

Residence Floyd County GA;
Enlisted on 8/31/1861 as a Private.
On 8/31/1861 he mustered into "C" Co. GA 23rd Infantry
He was discharged for disability on 5/24/1862
(Discharged for lung disease)

W T. Henson

Residence Cherokee County GA;
Enlisted on 8/31/1861 as a Private.
On 8/31/1861 he mustered into "G" Co. GA 23rd Infantry

NPS S&S

Green A. Henson (First_Last)
Regiment Name 23 Georgia Infantry.
Side Confederate
Company G
Soldier's Rank_In Private
Soldier's Rank_Out Private