Garnett, having viewed the two sets of images (GA listing and your book) side-by-side, I agree--this Stevens hammerless single is at best a distant relative of the 219/220. Action has many more pins and a straight "back" without the scallop of the Savage brand hammerless singles. The barrel lug looks close to the 220/219, but not identical either.
I wonder what happened to this model--they seem very rare, or at least I've never seen nor heard of one. Perhaps they were a little too fancy/pricey for the Stevens brand's market?
Also wish I could buy this Stevens shotgun, but just sank my "capital" (a rather-too-grand title for my piggy bank's contents....) into a Utica 219 .30-30 with original Savage mounts, rings, and scope, and a .410 barrel fitted to it. Won't be here for a while; the guy I talked out of it lives in NV and is going in for a rotator cuff rebuild Monday, so he won't be shipping anything for a while.... I've had the same surgery; takes a while to recover! But I've done business with him before and he'll get 'em to me.
Hope you're home and safe, if not dry, by now!
Mike Armstrong