This is not my family, but I want to share a few tidbits to help other researchers:
There is a page on the Arterburns in the book "Middletown's Days and Deeds" by Edith Wood written in the 1940s. Middletown in an area of Jefferson Co. KY that was settled in 1797 and this book can be a great source for researchers. Some Arterburns lived in Middletown, and some in St. Matthews, different parts of Louisville. It is sold at the Middletown history museum (www.middletownchamber.com
) or you may be able to get it through an interlibrary loas from the public library in Louisville.
Another recently published book called "Historic Jefferson County" by Donna Neary has pictures of the historic houses in Jefferson Co. KY, one of them the home of Norbourn Arterburn, and another the Herr house, inherited by Annie Herr Arterburn.
J. and T. Arterburn are mentioned in the book "A History of Kentucky" by Clark. They ran a slave dealing/trading operation in KY. Their first names aren't known to me.
They are mentioned in some slave trades on the site http://ccharity.com
then click on "An Adams County Mississippi Court Record Book" and/or do a search for Arterburn.