There have been times that I wanted to put a ball end on a short workpiece but the turner ran into the chuck. Here is how I solved the problem.
I made a sleeve with an R-8 taper to fit the collets that I have for my mill. Once I had finished the taper I placed a 1/2" collet in the sleeve and a piece of 1/2" material in the collet. I used a rotating center to apply clamping pressure so I could turn the outside to ensure that it was concentric. I can now turn a ball on a workpiece that is little more than twice the diameter of the ball in length.
The material used was a piece of heavy wall pipe, Schedule 80 in the US, approx. 6 inches long. The wall thickness is .133" which was enough for the taper but I had to press a reducer bushing in the other end so I could bore it for the .950" end of the collets. I then made a cap to close the end and provide support for the 7/16" bolt used as the drawbar.
Here is what it looks like.
Using the Ball Turner on Short Workpieces
Using the Ball Turner on Short Workpieces
Using the Ball Turner on Short WorkpiecesJoe