Hey cousins--
Jane Byrd Claypool is unlikely to be connected to the Surry VA/Chowan NC Byrds. Surry County is a very long way from Rockingham County (formerly Augusta Co.), and no one from the Surry/Chowan line appears to have migrated in that direction, so Jane sticks out like a sore thumb, so to speak.
Descendants of Jane, your best bet is to look for connections to the Birds of Rockingham County. This family group came from Oyster Bay, Long Island, New York.
At least three sons of Andrew Bird, Jr. (1673 NY-1723 NJ) (father Andrew, grandparents unknown) moved to Rockingham County, and I strongly suspect that Jane is their sister or cousin (perhaps even the widow of one of these Birds).
You may want to look into these guys:
"Andrew BIRD III (1702-1749), John BIRD (1705-1756) and Abraham BIRD (1710-1750) all resettled their families to Augusta County, Virginia. They settled on Smiths Creek, on Craney Island, in what is Rockingham County Virginia. These Bird families established many iron furnaces, iron works and water grist mills in Virginia. After the first French and Indian War, this Bird Family Branch descendants scattered out to settle in Kentucky County, Ohio County, and Tennessee County, Virginia Colony...."
http://linton-research-fund-inc.com/Bird_Family_Migration_Routes.html
If you look into old Rockingham County records, you may find a link between the Claypools and Birds.
see also
http://www.worldfamilies.net/surnames/byrd/pats
http://wc.rootsweb.ancestry.com/cgi-bin/igm.cgi?op=GET&db=grant...
Good hunting, all...