It looks like the last homely house.
I am ignorant of this hut, so pray tell us where it is. :-)

Ha ha! It pretty much is the last homely house. If you look on here http://www.topomap.co.nz/ and search for Barron Saddle Hut you'll find it. Having helicoptered in from Aoraki / Mt Cook Airport we skied out a couple of days later down the Mueller Glacier, up the Metelille Glacier, across the Annette Plateau then down the Sawyer Stream. A lovely trip.