Of course my big problem has been that I only know for certain that the name of my GG grandfather was C. Atherton, but am pretty sure his name was Canada Atherton; My mother wrote this name on back of a picture of her father, Julian Franklin Atherton born abt 1882 Miss.C "Canada" Atherton was in MIss 1870 census, where he married a widow with son Oscar Webb; he too had a son, Edgar/Edward Atherton in this same household.
I have tried to find more about the family in Hunt County, there is even a C. Atherton who married someone there (can't remember her name, without referring to records) however, it was after C. atherton's second wife died in Gunter, TX 1888/1889.Although, there was no family history of his ever remarrying again, so this may have been the C. Atherton you mentioned.
Most researcher agree with me that T.C. Atherton in KY is most likely my relative; as his father was Canada.I need to talk to you more about why you believe his fahter was instead, John; I'm always open to other options to verify my research.
A Calvin Atherton was in Brown Co., TX, it seems, about 1910-1920; he was married, and I could make no connection; although Edgar and second wife were living in that same county.