William (and most likely his brother Jesse Bird) has been positively verified with Jordan as their father in the Delk Y DNA Test under 1006392. I'd like to connect them based on the DNA as well as the following:
The Bull Creek Property
On Feb 19 1799 Jordan purchased 50 acres on Bull Creek of Ivy in Morgan Buncombe County North Carolina from John Strather as recorded in book 3 page 229. This property was next door to Martha Patsy Bird. In 1812, Sarah Delk and Martha Bird sold their properties to Baxter Davis and moved to what is now Scott County Tennessee