According to the postings on Ancestry, the father of Archie Lindsey Hadaway was Jesse Washington Hadaway (b. 1812; SC). If so, then his family is likely connected to the large clan of Hattaways in Pitt Co, NC.
My mother is a Hadaway of north Georgia. Our line has been proven to be connected to the Pitt Co, NC group through a positive match between some of those Hattaways and my Mom's brother.
As a male named Hadaway, you are also eligible to participate in our DNA Project. Such participation could provide insight as to your ancestry beyond Jesse Washington. Please visit our Project Web Site:www.ftdna.com/public/hadaway
Please let me know if you have any questions.