Do you have any idea or even suspicion WHERE William came from? If so, you might simply search for deserters with a given name of William within the state. I am sure it will be time consuming (unless you can find some Internet sources).
You should also post messages to the boards and/or lists for the state, AND to
Adkins,
Akins and Warner-L. There may have been a relative William continued to contact, even after he left the war. Someone may be looking for him too!
Does anyone have any other ideas?
Rel@ively,
Patrice