I did not find a J. L. Hodges in the 10th, but found one in the 2nd Florida, Company A, who I would believe is your man.

The four Hodges found in the roster of the 10th Florida are noted below.

George Martin

J L. Hodges

Residence was not listed;
Enlisted on 2/14/1863 at Broward, FL as a Private.
On 2/14/1863 he mustered into "A" Co. FL 2nd Battn Infantry
(date and method of discharge not given)
He was listed as:
* Wounded 8/21/1864 Weldon Railroad, VA
* Hospitalized 8/27/1864 Howard's Grove Hospital, Richmond, VA
* Furloughed 9/5/1864 Howard's Grove Hospital, Richmond, VA (Furloughed to Columbia, FL)
He was described at enlistment as:
5' 10.0", fair complexion, blue eyes, grey hair
Other Information:
born in 1826

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Robert C. Hodges

Residence was not listed; 18 years old.
Enlisted on 8/15/1861 at Lower Spring, FL as a Private.
On 8/15/1861 he mustered into "C" Co. FL 10th Infantry
(date and method of discharge not given)
He was listed as:
* AWOL 2/25/1865 (place not stated) (Never returned)
* Oath Allegiance 5/17/1865 Madison, FL
Promotions:
* 1st Sergt 5/12/1862
Other Information:
born 11/19/1842 in Irwin County, GA
died 8/7/1919 in Jennings, FL
Buried: Sasser's Landing Cemetery, Hamilton County, FL
(Parents: James A. & Ann McCall Hodges. Married (1)
Ann Smith; (2) Dixie Powell 06/12/1896)
After the War he lived in Jennings, FL

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Thomas W. B. Hodges

Residence was not listed; a 20 year-old Farmer.
Enlisted on 3/4/1863 at Fowlers Bluff, FL as a Private.
On 3/4/1863 he mustered into "C" Co. FL 10th Infantry
He was Surrendered on 4/9/1865 at Appomattox Court House, VA
He was described at enlistment as:
5' 9.0", dark complexion, black eyes, black hair
Other Information:
born 3/20/1842 in Lowndes County, GA
died 4/17/1930
Buried: Old City Cemetery, Jacksonville, Duvall Co., FL

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William L. Hodges

Residence was not listed;
Enlisted on 8/15/1861 at Lower Spring, FL as a Private.
On 8/15/1861 he mustered into "C" Co. FL 10th Infantry
He was discharged for disability on 2/26/1863 at Lake City, FL
He was listed as:
* Furloughed 8/27/1862 (place not stated)
Promotions:
* Musician 2/1/1862 (Estimated date)
He was described at enlistment as:
5' 3", light complexion, grey eyes, light hair
Other Information:
born in 1844 in Charlton County, GA

Sources used by Historical Data Systems, Inc.:
- Soldiers of Florida in the ...Civil War...
- Biographical Rosters of Florida's Soldiers 1861-1865

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J S. Hodges

Residence was not listed;
Enlisted as a Private (date unknown).
"E" Co. FL 10th Infantry

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Here are the Florida units found in the Order of Battle for the Battle of Weldon Railroad

Confederate Forces
ARMY OF NORTHERN VIRGINIA
THIRD CORPS
LIEUTENANT GENERAL AMBROSE POWELL HILL

Mahone’s Division - Major General William Mahone

Finegan’s Brigade - Brigadier General Joseph Finegan**

2nd Florida Infantry Regiment -- Major Walter R. Moore
5th Florida Infantry Regiment -- Colonel Thomas B. Lamar
8th Florida Infantry Regiment -- Colonel David Lang
9th Florida Infantry Regiment -- Colonel John M. Martin
10th Florida Infantry Regiment -- Colonel Charles F. Hopkins
11th Florida Infantry Regiment*** -- Colonel Theodore W. Brevard