This looks like the family because there is a son named Wesley born in 1925.
Take care that there is another Early Woodard in Alabama of the same age.
It will help if you learn how to use Family Search to look for records. That site is free but you must establish an account for yourself. Good luck!
"United States Census, 1940," database with images, FamilySearch(https://familysearch.org/ark:/61903/1:1:V1L1-32W : accessed 21 August 2018), Bob Woodard, Ward 1, Ozark, Election Precinct 1, Dale, Alabama, United States; citing enumeration district (ED) 23-1, sheet 10A, line 5, family 217, Sixteenth Census of the United States, 1940, NARA digital publication T627. Records of the Bureau of the Census, 1790 - 2007, RG 29. Washington, D.C.: National Archives and Records Administration, 2012, roll 24.
