What I'm working from is a book called "Genealogy of James Peery: Virginia Pioneer, Revolutionary War Veteran, Tennessee Frontiersman, Hickman County reesident, Ancestors and Descendants by Charles Lee Peery. He published the book in 1996 and sold it for $35. Apparently the response was poor and another publisher has the leftovers for sale for $60. The book is over 500 pages long.
I can tell you which of the names you listed is in the index. The index has apx. 4400-4500 names in it. I am a Peery by marriage and not very well versed. What I think is true is that there was an original George who had 4 sons, one of them was the James our book is about. My husband's family is also related to Robert, James's brother.
p.s. the only error I made was there are perhaps on 3,000 or so names (it sure looked like more!)