Hello
I think I may know the person who you contacted in Australia because that is probably the same person who told me that Martha was a daughter of Richard and Sarah, along with two children that I already had. As I said, I had not proved it, apart from tracing her in the censuses.
Yes, there are many Franklin families in that part of Berkshire, some related, some not. My paternal Sellwood kin seem to be related/connected to many of them, including some who went to Australia.
I had kept Martha in my notes, just in case some evidence turned up to definitively connect her to one of my Franklin families, or prove whose daughter she was.