Oh Yes, Wiggy, definitely sounds familiar....

and not just once or twice or thrice .... but perhaps most of the time.
Dawn M .... I can definitely confirm that my cousins' gt grandparents also lived in a white house on a hill in yyyy at Brisbane ..... BUT their white house and that particular hill was at Brisbane WATERS (Woy Woy, and not yyyy).... which of course is north of Sydney, just like Brisbane is also north of Sydney.
Brisbane Waters is where the Hawkesbury River meets the Tasman Sea, and thus JUST north of Sydney NSW Australia. And to confuse you all even more, the Hawkesbury River and the Nepean River were discovered separately by explorers, and are in fact one and the same river, just that the explorers were confused.
Brisbane is the capital city of Queensland, Australia, and both locations are most likely named after one of the early governors of New South Wales .... And to confuse you all even more, Queensland was once part of New South Wales, until Whitehall and QV approved separating off another colony from NSW (in 1859). Whitehall had allowed for VDL (Tasmania) to go off in 1825, New Zealand in 1841, Victoria in 1851 .... oh deary me ... if only things had been left alone, it would be so much easier to do family history searchings in Australia.
PS But there's around 550 miles between Brisbane and Brisbane Waters.
Cheers, JM