Nobby, you take a piece of 1/2" mild steel in my case and drill a centre hole with a centre drill, that goes in the boring head.
You then do the same but leave that bit in the chuck. This way you know it's got to be running true.
Then you locate the work using two ball bearings held with a dab or grease and drive with a lathe dog.
Doesn't matter how much off set the ball bearing will cope.
You can then dial in the taper you wnat by adjusting the boring head.
And before some Herbert starts rabbiting on about the head being on a horizonal centre there are simple ways to set this and if you are worried about the play in the key on the tailstock barrel,
FIX THE DAMN THING