Pretty much the way it is told around here also, EXCEPT, His name was never John, it was always Jasper Newton Daniel & he was known as Jack which is the name his Whiskey sells under.

Do a google on John Daniel whiskey & then do one on Jack Daniel whiskey & see which gets the most hits. Signs abound here around Lynchburg proclaiming "I Know Jack". Everyone in this area & even worldwide knows Jack, but nobody knows John. They may know John Doe, but he didn't make TN Whiskey, Mellowed Drop by Drop, that was Jack.
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Miller/TN
I Didn't Say Everything I Said, Yogi Berra