Here is a document about the application for a school. Yarrahapinni is a tiny place near Kempsey on the New South Wales north coast. You could probably find it by googling, but it's really only a dot on the map. It's pronounced Yarra-happ - inni, emphasis on the "hap".
My great-grandfather Thomas Robinson was the lighthouse keeper and pilot boat captain out of Port Macquarie, and some of these children were his. My grandmother wasn't ready for school then, so her name isn't on the list.