To locate where Wm C Cook would have been around 1830 I used the information that was gained from the Williams vs. Putman State Supreme Court Case. Given the testimony from that case it appears that Wm C Cook lived in close proximity to Zephaniah Anglin. A look at the census page from 1830 Bedford Co. TN in which Zephaniah appears show a Cook household with a male that could be Wm C Cook. Also I believe that this Elizabeth Cook's maiden name was Harrison. The Wm Harrison listed immediately following her is the household of Wm & Elvira Cooper Harrison. The two households above Elizabeth are sons of Wm & Elvira. Wm & Elvira did have a daughter named Elizabeth(b. abt 1788) who would be about 42. The older female(presumable Elizabeth) is in the 40-50 age bracket.
A number of trees claim that Wm P Harrison of 1830 Williamson Co TN is Wm & Elvira's household however the ages for William and Elvira do not match up as they do here on the 1830 Bedford Co TN enumeration.