Based on the census records I found, his family resided in Pontotoc county in 1860.

Because of his age, he must have enlisted late in 1864, sometime after April, for which time, Company C muster rolls are not available, thus we do not know the exact date or place of his enlistment.

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Jesse Russell, Private, Company C, 32nd Mississippi Infantry, deserted, captured and subscribed to the Oath of Allegiance to the United States, December 5, 1864 at Nashville, Tenn., resident of Pike County*, Miss., dark complexion, dark hair, grey eyes, 5' 8", no other records

* I suspect that this may have been a clerical error.

M269: Compiled Service Records of Confederate Soldiers Who Served in Organizations from the State of Mississippi

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COMPANY C (Tishomingo Rebels)
MUSTER ROLLs OF CAPTAIN J.W. SWINNEY

May and June 1862 Tupelo, Mississippi**
July and August 1862 Bardstown, Kentucky
November and December 1862 Tullehoma, Tennessee
January and February 1863 Tullehoma, Tennessee
March and April 1863 Wartrace, Tennessee
May and June 1863 Tyners Station, Tennessee
July and August 1863 Blythes Ferry, Tennessee
November and December 1863 Not Stated
In the Battle of Taylors Ridge, Nov. 27, and lost one man killed.
January and February 1864 Not Stated
March and April 1864 Dalton, Georgia

** Location of the company at the end of the bi-monthly muster for pay period

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1860 United States Federal Census about Jesse Russell
Enumerated August 30, 1860
Name: Jesse Russell
Age in 1860: 14
Birth Year: abt 1846
Birthplace: South Carolina
Home in 1860: Pontotoc, Mississippi
Gender: Male
Post Office: Fredonia
Household Members:
Name Age
John G Russell 45
Margaret Russell 46
John G Russell 23
Harshan H Russell 20
James Russell 16
Jesse Russell 14
Zelie E Russell 12
George Russell 10
Margaret E Haile 2

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1860 United States Federal Census about Jesse Russell
Enumerated September 10, 1860
Name: Jesse Russell
Age in 1860: 13
Birth Year: abt 1847
Birthplace: South Carolina
Home in 1860: Pontotoc, Mississippi
Gender: Male
Post Office: Rockyford
Household Members:
Name Age
John G Russell 46
Margaret Russell 47
H H Russell 18
James A Russell 15
Jesse Russell 13
Ezekiel E Russell 11
George R Russell 9
John G Russell 8
Leander C Russell 6
Lemuel Snider 49