Carter Godwin Woodson was an African-American historian, author, journalist and the founder of the Association for the Study of African American Life and History as one of the first scholars to study African-American history. In February 1926 he launched the celebration of "Negro History Week," which is the precursor of Black History Month.
Carter was born in 1875. He passed away in 1950. His parents were James Woodson and Eliza Riddle, both former slaves.
The 1880 Census listed below for "Charley Woodson" does appear to be Carter based on his biographical information, but this should be verified.
"United States Census, 1880," database with images, FamilySearch (https://familysearch.org/ark:/61903/1:1:MCPL-TTW : 15 July 2017), Charley Woodson in household of James Woodson, Marshall, Buckingham, Virginia, United States; citing enumeration district ED 36, sheet 501D, NARA microfilm publication T9 (Washington D.C.: National Archives and Records Administration, n.d.), roll 1357; FHL microfilm 1,255,357.
"United States World War I Draft Registration Cards, 1917-1918," database with images, FamilySearch (https://familysearch.org/ark:/61903/1:1:KZFW-99R : 12 December 2014), Carter Godwin Woodson, 1917-1918; citing District of Columbia no 8, District of Columbia, United States, NARA microfilm publication M1509 (Washington D.C.: National Archives and Records Administration, n.d.); FHL microfilm 1,556,844.