My Hyatt line was from Chester, South Carolina and Edgecombe, North Carolina and was associated with the McKinney family of Chester. They moved to Alabama (Benton & Cherokee County areas) as well as Georgia (Floyd that we know of - possibly others). The name David is very VERY common in our family and has been passed down for generations.
If you have any brothers or cousins who still have the Hyatt surname, they can purchase a DNA test through the Hyatt DNA Project to see whether they match our line or one of the others:
http://www.worldfamilies.net/surnames/hyatt You can by a 12 marker test through the project for about $60 and that should at least give you a basic indication of which line to focus on. The tests can easily be upgraded later to be more specific. The black menu buttons at the top of the page are where you can view the Patriarchs that are currently known (the red #'s correspond to the kit #'s on the Y-Results page). Use the "Order Test" button to join the project and order a test.
My Stauber-Aldrich tree is public and has my line on it and as many branches as I've been able to trace. Feel free to scour it and see if anything fits.