OK, It came apart
Based on many people's advice, I methodically took the t-mount apart. A total of 9 (count 'em, 9) set screws, and when they were loosened, the parts of the t-mount sort of slid apart. The Century Precision t-mount adapter flange (receiver) came off the lens, and then I had total freedom to work with two steel cylinders completely detached from any optics or mechanisms.
Ronsonol lighter fluid (Que-tip applied) soak came first. Then the rubber gloves (Thanks, Roger, they were in the camera toolkit, but I always regarded them as skin protection). Then Liquid Wrench. The again and again until bedtime came and I soaked the joint in Liquid Wrench overnight. This morning, the joint unscrewed.
Dan, as I understand, the Tele-Athenars were doublets, the Tele-Athenar II lenses were triplets (as if I understand the optics). You're right about the Nikon mount -- that's what the seller had used the lens on. I had been in touch with CP, and a very fine fellow who owns some of these lenses sent me scans of a full set of specs on the range of Tele-Athenars that were T-adaptable.