I had a look through the Hampton Gay parish register for you (at least the one that is available online) and, unfortunately, I couldn't see any Beasleys (of any spelling) or Pantons.
It is even more difficult because William and Jane signed with their mark, which means that the spelling was based more on what the parish clerk
heard and sometimes the result is so laughable, you wonder whether they had impacted wax!

Not that spelling was consistent in those days, anyway.
Sorry I couldn't be of more help.
Best of luck with your search,
Queenie
