Answer February 2021
Click on the images above to see a full-sized image.
The clue (centre image) is of a wall that is part of Robbs/Beals or whatever is there now (lockdown prevents a visual check!), and New Court is the alleyway that runs from Priestpopple (left-hand image above) out to Wentworth Place past this wall.
The right-hand image shows the other side of the alleyway (heading towards Wentworth Place) with another example of an old wall the previous use of which might have been the back of the Royal Hotel. The new buildings at the top of the image are part of the new Royal Apartments development.
Thanks to HLHS member John for the idea and photos.