It’s an older machine (imported I’m sure) with a fairly short bed, but a pretty standard 3 in 1. A steady rest, which I don’t have, won’t solve the problem.
The work piece is a very old (circa 1892) lever action with an octagon barrel. The rifling is gone from the last 1/2” of the bore and the plan is to backbore it to get to the rifling that’s left. I don’t want to try breaking the barrel loose and taking it off the receiver if I can avoid it.
In the first pic, the spindle bore is shown with the clutch housing around it, at the top of the triangular gear and belt setup. The gun receiver would be sticking out past this area, hopefully held, supported, and centered by something. The muzzle would be as close to the chuck as I can get it for rigidity.