I could not find your ancestor's name in the U. S. Civil War Soldiers Index at Ancestry.com. I tried many different spellings of the name Barnett but I was not able to find him. A record of his service may not have survived.
However, in the year 1910 your ancestor applied to the state of Arkansas for a Confederate Soldier's Pension and claimed that he had served in the 5th Mississippi Cavalry Regiment. His name appears in the pension index as follows:
Arkansas Confederate Pensions
Surname: Barnett
Given Name: Calvin T.
Application Number: 14519
Widow Surname:
Widow Given Name:
Company:
Regiment: 5
State Served From: Mississippi
Division: Cavalry
Pension County: Ashley
Death Date: 9/25/1938
Application Year: 1910
Widow Death Date:
Comments: Questionnaire/requested pension increase 1911
Please refer to the following link for more information about Arkansas Confederate pensions:
http://www.ark-ives.com/documenting/confed_pensions.asp
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In the year 1911 the state of Arkansas made a census of Confederate veterans living in Arkansas. Your ancestor was living in Ashley County, Arkansas at the time and was included in this census. Each veteran was given 2 questionnaires to fill out and return to the county officials where he resided. Your ancestor appears in the questionnaire index as follows:
1911 Confederate Veterans Questionnaires
Last Name: Barnett
First Name: Calvin
Middle Name: Taylor
Present PO City: Hamburg
Present PO County: Ashley
Birth Month: June
Birth Day: 13
Birth Year: 1845
Birth City:
Birth County: Benton
Birth State: Ala.
Military Service: Co. I, 5th Miss. Reg.
Wife: Summers
Quality of Info: Average
Please refer to the following link for more information about these questionnaires:
http://www.arkansascivilwar.com/ancestors/1911.aspx
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Also in the year 1911 there was a United Confederate Veterans Reunion at Little Rock, Arkansas and your ancestor attended this reunion. Most of the veterans who attended, including your ancestor, filled out registration forms giving information about their Confederate service. Your ancestor appears in the index of these registration forms as follows:
1911 Confederate Veterans Reunion Registration Forms
Last Name: Barnett
First Name: C.
Middle Name: T.
Street Address:
City: Hamburg
State: Ark.
Company: I
Regiment: 5th Miss. Cavalry
Brigade: McCulloch
Command: Turner
Detached Commands:
Address During Reunion: Camp Shaver
Please refer to the following link for more information about this reunion and the registration forms:
http://arkansascivilwar.com/ancestors/1911search.aspx
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Company I of the 5th Mississippi Cavalry was organized in Attala County, Mississippi and commanded by Captain Paul Turner. On the 1860 census your ancestor is shown living in Winston County which is next to Attala County.
For more information about the 5th Mississippi Cavalry refer to the following links:
http://attala.msghn.org/5_Reg_Miss_Cavalry_History.html
http://attala.msghn.org/civwar.html
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The state of Arkansas has a record of your ancestor's death and his name appears in the Arkansas Death Index 1914-1950 as follows:
Name: C L Barnett
Death Day: 25
Death Month: Sep
Death Year: 1938
County: Ashley
Roll Number: 19341940
Page Number: 168
Source Information: Ancestry.com. Arkansas Death Index, 1914-1950 [database on-line]. Provo, UT, USA: Ancestry.com Operations Inc, 2005. Original data: Division of Vital Records, Arkansas Department of Health. Arkansas Death Index,1914-1950. Arkansas: Arkansas Genealogical Society. Microfiche.
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Your ancestor appears on all census records from the year 1850 through the year 1930. For each census I have listed where your ancestor was living and how his name appears in the index:
1930 Census: Mill Creek, Ashley County, Arkansas - C. T. Barnett - age 84
1920 Census: Mill Creek, Ashley County, Arkansas - Taylor Barnett - age 72
1910 Census: Carter, Ashley County, Arkansas - Taylor C. Barnett - age 65
1900 Census: Veasey, Drew County, Arkansas - C. T. Barnett - age 55
1880 Census: Carthage, Leake County, Mississippi - C. T. Barnett - age 35
1870 Census: Winston County, Mississippi - Calvin Barnett - age 22
1860 Census: Winston County, Mississippi - C. F. Barnett - age 15
1850 Census: Winston County, Mississippi - Calvin Barnet - age 5
Regards-------