+1 for lantern toolholders (minus their dished washer and matching boat to go under the tool itself.
I am thinking that the items on the left may be steadies for use when turning / threading long slender shafts? I say this as they seem to be similar centre height to the lanterns and same tee slot size?
Both items fit on lathe cross slide? Might not be for metal but quickly reduce spindles and the like? One fits the original outside diameter and the other the new 'reduced' diameter? Could be handy when turning longer lengths of wood, plastics and similar flexible materials?