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Charles, have you checked with Don Paul Payton? Hudson Peavy Meacham is also a descendant of Henry B. Meacham, Jr. of Meriwether County, Georgia, father of James Robert Meacham. He was a brother of my ancestor, Robert Bartlett Meacham, and they were sons of Henry B. Meacham, Sr. who was a Rev. Soldier who died in Baldwin County, Georgia in 1834.
I have not followed Henry B. Meacham, Jr.'s line as well as Don Paul and Hudson. Check with Don Paul who lives in Lubbock, Texas.