William Gatewood is presumably WG - age 2 in 1870 census.
RJ is presumably his older brother, Robert J.
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found on familysearch.org. text copied
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Name: W G Blevins
Event Type: Census
Event Year: 1870
Event Place: Tennessee, United States
Gender: Male
Age: 2
Race: White
Race (Original): W
Birth Year (Estimated): 1867-1868
Birthplace: Tennessee
Page Number: 10
Household ID: 65
Line Number: 21
Affiliate Name: The U.S. National Archives and Records Administration (NARA)
Affiliate Publication Number: M593
GS Film number: 000553048
Digital Folder Number: 004276894
Image Number: 00033
value
Household Role Gender Age Birthplace real/personal
A C Blevins M 48 Tennessee 900/500
Catherine Blevins F 43 Tennessee
R J Blevins M 24 Tennessee
Elizabeth Blevins F 22 Tennessee
M V Blevins F 20 Tennessee /school
J N Blevins M 17 Tennessee /school
G W Blevins M 14 Tennessee /school
A C Blevins M 10 Tennessee
J W Blevins M 6 Tennessee
W G Blevins M 2 Tennessee
Citing this Record:
"United States Census, 1870," index and images, FamilySearch (https://familysearch.org/ark:/61903/1:1:MDDJ-3P8 : accessed 3 April 2015), W G Blevins in household of A C Blevins, Tennessee, United States; citing p. 10, family 65, NARA microfilm publication M593 (Washington D.C.: National Archives and Records Administration, n.d.); FHL microfilm 553,048.
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1850 Census Census. Hawkins Co TN, Shows Alfred C, Catherine (as Katherine), Robert, Frances, & Virginia with appropriate ages.
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1860 Census on FOLD 3 ($$) Van Buren, TN. Shows household with Catherine for children through "George S. age 0" could be same as 1870 G.W.?, but there GW is 14yo
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1880 Census in McMinn Co TN. Shows household of A.C. Blevins (57y) to include Catherine (54y),George (24y), Joseph (17y), WG (12y), Sarah (9y), and servant Eliza Lovlies (17y)