Wish I had some information for you, but it appears that my research has only led me as far as Joseph HINDS. The only information I have is that he served on the Constitutional Draft Committee of 1776 for North Carolina. I have seen a DAR report on Joseph, but can't seem to locate it (tho I'm rather skeptical of its data).
I did want to at least reply to let you know that someone is out there searching the same lines. I too am researching Huldah BYRAM and Levi HINDS. I would love to see what you might have to enhance/support my research. Specifically, I had the most difficult time trying to show a link between the Ebenezar BYRAM of Morris Co., NJ and the one later found in TN.