This in not much help - they seem to be located around Hamilton, TN. The marriage certificate isn't viewable, so I don't know if it might contain more info. Appears his birth year may differ from what you have.
Source: "United States Census, 1850," database with images, FamilySearch (
https://familysearch.org/ark:/61903/1:1:MCDF-W3Z : 12 April 2016), Absalum Lumpkin in household of James Brown, Hamilton county, Hamilton, Tennessee, United States; citing family 861, NARA microfilm publication M432 (Washington, D.C.: National Archives and Records Administration, n.d.).
United States Census, 1850 Hamilton county, Hamilton, Tennessee
: James Brown M 23 New Jersey
: Corina Brown F 23 Tennessee
: Absalum Lumpkin M 22 Tennessee
: Mary Lumpkin F 21 Tennessee
Source: "Tennessee, County Marriages, 1790-1950," database with images, FamilySearch (
https://familysearch.org/ark:/61903/1:1:QKH3-YY42 : 22 December 2016), Absolum Lumpkins and Mary Goin, 18 Oct 1846; citing Campbell, Tennessee, United States, Marriage, p. , Tennessee State Library and Archives, Nashville and county clerk offices from various counties; FHL microfilm 979,202.
Name Absolum Lumpkins
Marriage 18 Oct 1846 Campbell, Tennessee, United States
Spouse Mary Goin