Try to find the spot where the photographer was standing.
C........ Street, the Rocks.
I wonder if some of the same folk are in this one, slightly to the right in August 1901 - [https://www.flickr.com/photos/powerhouse_museum/2844602875/]
See also - www.artgallery.nsw.gov.au/collection/works/5859/
And also - collection.hht.net.au/firsthhtpictures/picturerecord.jsp?...
And the reverse view -
Streetview didn't go up Cambridge Street until recently - I think this is the right place - FUGLY! - www.google.com.au/maps/@-33.8601205,151.2076351,3a,75y,32...
Yes, right place looking north. One really has to work at getting Cambridge Street at all pretty nowadays.
I love how many views in Millers Point and The Rocks include washing on a line.