She's a duplicate :)
There was already an approved merge, but it wasn't showing on the profile, as they sometimes don't.
Dunno about Richard's ancestry. The Essex family has been discussed on here before. I don't think Peter Osborne of Tyle Hall in Essex had anything to do with the Osborne or Tylden families of Kent.
Apparently the Broughton in question is this one in Cumberland, between Workington and Cockermouth.
There's mention of Broughton in Westmorland or "near Penrith" but I can't find any such place. Maybe confused with Brougham.
There are at least 3 Broughtons in north Lancs including 2 in the detached part - Broughton-in-Furness (held by a different family called Broughton) and Broughton-in-Cartmel.