I have not found anything further back than Willam and Charity. I somewhat hit a brick wall with them, although I wish I could find more. I do not even know when or where they died. I did go to Mississippi this year and did quite a bit of research but found nothing new on them. But if I am not mistaken, I think it was Tishomingo County that had a fire in the old days and lost many records.
I do have your Cook family in my records, but do not have much on them either. My Price/Gatteys family moved to Montague County TX before 1880 then on to OK by 1900.