The Kilns is in the suburb of Hillsborough, Christchurch

The Kilns – Named because the street was formed on the site of the Glenmore Brick & Tile Co. Ltd. First appears in street directories in 1991.
Nothing much on the library website. I didn’t actually walk this tiny street as it came across as a private lane and it had an entrance that had a vibe of don’t enter. I have just read a little bit in Gordon Ogilvie’s book and it sounds like the original Glenmore House was saved from demolition. I will have to go back and see if I can get a photo of this building as I am not sure if the photo that I did take shows it.