Camp Vincent was most likely named after the regiments Colonel, Wm. G. Vincent. This was quite common. It doesn't appear to apply to a given named location.

Are you sure that the Daniel Adams of the 19th Infantry is the same soldier?

Daniel F. Adams

Residence was not listed;
Enlisted on 12/11/1861 at Camp Moore, LA as a Private.
On 12/11/1861 he mustered into "H" Co. LA 19th Infantry
He was discharged on 1/23/1862

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Daniel F. Adams

Residence was not listed;
Enlisted on 6/27/1862 at Pleasant Hill, LA as a Private.
On 6/27/1862 he mustered into "E" Co. LA 2nd Cavalry
He died of disease on 1/28/1863

Sources used by Historical Data Systems, Inc.:
- Index to Compiled Confederate Military Service Records
- Record of Louisiana Confederate Soldiers

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Daniel F. Adams, Private, Capt. John H. Sutherlin's Company K, 19th Regiment Louisiana Infantry,* enlisted December 11, 1861 at Camp Moore, Tangipoalso, La. for 11 Mos. 2 days, a period ending November 13, 1862, discharged January 23, 1862, by reason " . . . disability to perform military duty or service," description: Farmer, age 34, 6' 3", light complexion, blue eyes, light hair

* This company was subsequently designated as Captain John H. Sutherlin's Company, (1st) Company H, (2nd) Company K, and (3rd) Company H, 19th Regiment Louisiana Infantry.

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D. F. Adams, Private, Capt. S. C. Furman's Company, Vincent's Regiment Mounted Partisan Rangers,** enlisted June 27, 1862 at Pleasant Hill/August 21, 1862 at Camp Butler, for 3 years unless the war is sooner terminated, died January 28, 1863, no further records

** This company was also known as Company E, 33rd Regiment Partisan Rangers, and subsequently became Company E, 2nd Regiment Louisiana Cavalry

M320: Compiled Service Records of Confederate Soldiers Who Served in Organizations from the State of Louisiana