Hello Jean.
My first reaction was you could add Central Auckland, if you choose to be precise, but then when I looked at the old maps, even back in the 1880's it was just over the border in the suburb of Parnell.
Auckland Central Library has an 1887 map [Maps on Line 2660] showing Auckland Central and Parnell marked out, within their demarcation lines, and with Park Road and a notation of HOSPITAL RES: on the fringe of the large Auckland Domain which is now home to the War Memorial Museum.
Originally a deep gully separated the two areas, but the Grafton Road bridge put an end to that separation.
I'll attach a c2000 [?] Auckland Hospital campus plan I have in my files. I remember going there in my youth, when my Grand Mother travelled up to Auckland for radiation treatment, before we had such facilities here in the Waikato.
Clearly seen on the on line maps of the large international provider.
- Alan.