There was a "Jackson Paris":

Jackson Paris
Regiment Name 2nd North Carolina Mounted Inf.
Side Union
Company C
Soldier's Rank_In Pvt.
Soldier's Rank_Out Pvt.
Alternate Name
Notes
Film Number M391 roll 2

2nd Regiment, North Carolina Mounted Infantry
Organized at Knoxville, Tenn., October, 1863. Attached to 1st Brigade, Willcox's Division, 9th Army Corps, Left Wing Forces, Dept. Ohio, to April, 1864. 1st Brigade, 4th Division, 23rd Army Corps, Dept. Ohio, to February, 1865. 1st Brigade, 4th Division, District of East Tennessee, Dept. of the Cumberland, to August, 1865.

SERVICE.-Ordered to Greenville, Tenn., to October 16, 1863, and duty there till November 6. Moved to Bull's Gap November 6, and duty there till December. March across Clinch Mountains to Clinch River. Action at Walker's Ford December 2. Gibson's and Wyerman's, Miss., February 22, 1864. Duty at Cumberland Gap and patrol duty in East Tennessee till April, 1865. Scout from Cumberland Gap January 23-27, 1865. Expedition from East Tennessee into Western North Carolina March 21-April 25, 1865. Moved to Boone, N.C., April 6, and to Asheville, N.C., April 27-30. Duty in North Carolina and East Tennessee till August. Mustered out August 16, 1865.

Also in the unit:
Paris, Henry
Co H Pvt. Pvt.

Paris, Lewis
Co C Pvt. Pvt.

American Civil War Soldiers
Name: Jackson Paris
Side Served: Union
State Served: North Carolina
Service Record: Enlisted as a Private.
Enlisted in Company C, 2nd Mtd Infantry Regiment North Carolina.

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1850 United States Federal Census
Name: Jackson Paris
Age: 20
Estimated Birth Year: abt 1830
Birth Place: North Carolina
Gender: Male
Home in 1850(City,County,State): Subdivision 23, McMinn, Tennessee
Household Members: Name Age
William Paris 70 w/m Farmer b. NC
Darcus Paris 65 w/f b. NC
John Paris 39 w/m Farmer b. NC
Lemuel Paris 30 w/m Farmer b. NC
Jackson Paris 20 w/m Farmer b. NC
Elva Paris 18 w/f b. TN
Rusha Paris 20 w/m b. TN

A couple houses down lives John Paris 36 w/m Farmer b. SC, his wife Lucinda 31 w/f b. TN, daughter Elva 7 w/f b. TN, son William Paris 5 w/m b. TN, son John Paris 3 b. TN, daughter Darcus 1 w/f b. TN.

Next to John lives William Paris 26 w/m Farmer b. TN, Molly 21 w/f wife b. TN, son John Paris 3 w/m b. TN, daughter Darcus Paris 1 w/f b. TN.

Looks like the like repeating names, which makes it difficult for genealogists.

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William Paris
Born: 1781 Greenville, SC
Died: 1869 McMinn Co., TN
Spouse: Dorcas Pickens
Born: 24 JUL 1785 Three and Twenty, Anderson, SC
Died: 1856 McMinn Co., TN
Children:
John W. Paris 1811–
Lemuel J. Paris 1812–1858
Talitha Paris 1814–
Nancy Paris 1816–
Lucinda Paris 1819–1864
William Jr. Paris 1822–1896
Sarah Paris 1824–1889
Robert H. Paris 1824–1890
Mary W. Paris 1826–
Elvy Paris 1828–1901
Jerusha Paris 1830–
A. Jackson Paris 1832–

Andersonville Prisoners of War
Surname: Henry S. Paris
Rank: PRIVATE
COMPANY: K
REGIMENT: 7
State: TN
Arm of Service: CAVALRY
Death Date: 12 Sep 1864
Cause of Death: SCORBUTUS
Remarks: H. S. PARIS [2]; S. PAVIES, COMPANY C [3]
Reference: p 64 [3]; p 564 [13]
Location of Capture: UNION CITY, TN
Date of Capture: 24 Mar 1864
Page: 261
Notes: PAVIES
More Information: YES
Code: 18605
Grave: 8605

JR