Do any of these Dates/Locations seem to fit?
Source: https://familysearch.org/search/record/results#count=20&query=%2Bgivenname%3A%22james%20t%20l%22~%20%2Bsurname%3Acheatham~%20%2Bbirth_place%3AUS~%20%2Bbirth_year%3A1870-1920~%20%2Bfather_givenname%3Ajohn~%20%2Bfather_surname%3Acheatham~
James T. Cheatham
Virginia, Births and Christenings, 1853-1917
birth 09 Apr 1883 Appomattox, Virginia
residence 1883 Virginia, United States
parents John A Cheatham, Pocahuntus Cheatham
James T Cheatham
United States Census, 1910
birth 1893 Missouri
residence 1910 Honey Creek, Henry, Missouri
parents John T Cheatham, Jenette Cheatham
United States Census, 1920
birth 1920 Kentucky
residence 1920 , Harlan, Kentucky
parents John Cheatham, Cora Cheatham
