Not having taken part in any previous conversations on this topic, I'm also of the opinion the above is correct. There is a strong probability that Georgiana Darcy had her own quarters in the house of her brother when in London. It would seem rather unnecessary to own or even rent anything extensive, or be in rooms, as Georgiana was still but a minor, and Darcy already owned a property there. Whoever looked after her ( Mrs Annsley) would be in Darcy's employ as full time and would also have to be housed and he would have servants there. Rooms within his own town property make total sense for a variety of reasons.
At sixteen and whilst out of her brother's care , Georgiana would most certainly be well chaperoned at all times and her education would be in the care of private teachers. Despite Darcy's wealth, the role of the female at that time was still geared towards finding a suitable husband as a priority over all, ( even Darcy's plans were hinted at as bringing Charles Bingley and his sister together at one stage) and it was the males who attended grammar schools and universities in the main. Some of the subjects learned by women, French and Italian etc, whilst common were, like drawing, painting and learning music, for social use rather than any thoughts of employment and could all be easily taught at home by travelling masters as could dance. With Darcy and Colonel Fitzwilliam as guardians, and particularly after the Mrs Younge affair, Georgiana would be as safe as a young girl could be,.