You might also want to check the 1910 census for James H. Adams in Clay County Mississippi.And the 1920 Census for Lamar County Alabama. You will find your James H. Adams's on both of these as well. Your line goes something like this:
William Braxton Adams, b. Mar 1852Alabama James Hardy Adams, Ib. Jan 1878 Alabama James Hardy Adams, IIb. Aug 1896Alabama James Hardy Adams, III b. Dec 1922Alabama
Also check the Adams DNA Results Table for William Braxton Adams and wife Amanda Priscilla Coleman. They are listed on page 2 and listed as "Family 110". Two other related Adams families are also listed with William Braxton Adams going back to Virginia.
If you need additional help or information as to how to access the Adams DNA Results Table, please contace me direct at: