I know it has been a long time since this post, but in case you haven't found the information yet:
I have been looking at the Perkins family and have had information that links in with yours.
If you look up Thomas Perkins b. ABT 1764 d. 25 Dec 1829 Towcester in the family tree section on the following link
http://freepages.genealogy.rootsweb.ancestry.com/~towcesterfamilies/It shows he married twice. First to Sarah Flesher where your lineage descend and second to Sarah Steward where my lineage descend.
He was born in Leek Wootton, Warwickshire where I have found, in the PR, his father to be another Thomas Perkins who died in Leek Wootton 1794. The record details his parents as James and Catherine Perkins
Further information can be found in my post at the link below:
http://www.rootschat.com/forum/index.php/topic,468669.0.htmlIf I find anything else I shall let you know unless you have got any further already!
Regards
Mike