The tailstock chuck I inherited with my lathe is knackered. I've had to return 2 eBay buys that were not good. I may have to bite the bullet and buy a new good quality chuck. Anyway, I found a keyless chuck in my box of bits. The chuck had come off a drill, It had no Morse taper, (MT1) shaft so I made one. Luckily I had a die of the correct thread, (1/2" NF 20 TPI)for the chuck.
I used a morse tapered, (MT2) chuck out of my pillar drill to grip a length of bar, the other end of which I clamped in my lathe chuck. I was then able to use the taper to set my top-slide angle. I put some ChromX bright steel bar, (thank you Alex) in the lathe and cut a taper onto it. When that was done I turned the shaft around and machined the end to a suitable diameter for the thread then using a die holder and machine in back gear I cut the thread for the chuck.
I'm happy with the result; it works.