The book is by Joseph Lyon Miller who was born in 1875.
I did not find anything in my brief look about my own Carter family. However, there were several Pieces of information about my Miller family. I suspect that the author also descended from my Jacob Mueller.
The first piece of information is on page 190:
There are a couple of the traditional stories about John Miller and there is also a portrait of Christian Miller of Woodstock on the facing page.
The search function is amazing! I would like to spend more time searching through books on open library.org.