Beyond House on Fire, you can find a few other ruins.
There are probably dozens of ruins in the canyon, rather than just a few.
Dozens? How many is that? 36 more? 48 more? 60 more?
The site referenced at the bottom of my page says "...at least six more sites within the next four miles...". My guidebook "Hiking Guide to Cedar Mesa" by Peter Francis Tassoni mentions only 3 groups of ruins at 20, 60 and 100 minutes from trailhead.
If you have other sources, please let me know.
I found 20+ ruins, but there are probably more. There are seven "major sites" that are on the old maps.
PS, if you are interested in this region, Tassoni's guidebook isn't very good (at least in my opinion). David Day's book is much better. Kelsey's too, if you don't mind the quirky and hectic style of his writing.