Here's what I came up with
What you're looking at are four glass tables all clamped together and my new table upside-down and pressed together. This method worked pleasingly well.
The chair back goes down first, with the hinge cylinders in place with the legs. Then the chair bottom goes on top of that and screwed into place.
Yeah, they look pretty sweet. I'm really ever so pleased with how these turned out.
I'll post some more pictures tomorrow