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By the names you've given, I think there is a connection to my Merrimans/Merrymans who lived on the James River in Virginia. We are both missing a lot of links. The Merrimans lived in Charles City Co., James Co., York Co., Henrico Co., Powhatan Co., Cumberland Co. and Goochland Co. It was when they lived in the latter counties that they met the Woodson family. I do not know all of the specifics on how they are connected. John Merryman had the following family: Judith b. ca 1694, John b. ca. 1698, and maybe Francis b. ca. 1695. Judith m. Michael Holland and John m. Elizabeth Pleasants. The children of John and Elizabeth were Elizabeth, Thomas, Agnes, John, Jesse and Judith. The name Jesse did not appear in the Pleasants family until the 1730s. So, Jesse Merriman b. ca 1740 was likely named for someone in his father's family. My theory is that he was named for a Jesse Woodson. Also note the name Agnes Merriman b. ca. 1733. She could have been named for Agnes Woodson.
There was a Miller Woodson b. 1745 Cumberland Co., VA who had descendants in Bibb Co., Georgia. Maybe your Jonathan is connected to him in some way. I'll see if I can turn up anything on Jonathan.