Today I experimented. I used the lathe, set to screw cut away from the chuck with a 2mm pitch, at 65 rpm. Solder was 1.5 mm Easyflow fed through a bit of wood with a 2 mm hole through it, held in the toolpost. I first tried a 4.5 mm mandrel, with tailstock support, and aimed a Primus burner at the solder between the guide and the mandrel as the lathe ran. I was surprised how little spring back there was, with the resulting rings about 4.7 mm i.d. Too small for 1/4 stays, so I tried a 1/4 mandrel, still using the propane burner. These rings measured 6.7 mm i.d.
Julian, did you solder the inner firebox stays shown above in the orientation shown, i.e., requiring the solder rings to flow up hill to arrive under the rivet heads? I know solder will flow up hill in a capillary gap, but I would have thought that the rings might first soften and lose their spring grip on the stay and slump down before fully melting.