If the machine reamers are beyond hope, they (or part of them )may still have a use. This assumes that the Taper is in good condition.
If the shank is soft enough to allow the Morse Taper to be sawn, or parted off, the MT could be held in the Mandrel taper, possibly with suitable sleeves, and turned to provide a centre, or or as an arbor onto which other items could be fixed, or tapped and used as an arbor for work holding. if needed.
An extra centre can be useful for centering work in a 4 jaw chuck, using the "Two Centres" method, or on a Mill, or a Rotary table or Dividing Head.
Howard.