Thanks very much for the comments,
Clive, I measured the rim thickness this morning and there is a very slight variation but it is less than 0.001".
Gary, Thanks. I checked my sums again this morning and I think I am about right. I reckon I will need to make the offending wheel about 0.010" diameter larger to eliminate the wobble.
DMB, yes I intend to use Loctite to fix the wheels. They are not glued and quartered yet but there is no slip between the wheel and axles when I clock them up. The wheels need to be teased on and off their axles very carefully so I think the runout errors are true.
Mick, I honestly think I'd like to avoid the bush if possible. I will keep the bush solution in my back pocket if I mess the re-boring operation up.
Baz, I am with you. I reckon about 0.010" bore increase will do it and I agree that it is just a bit of EN1 (I think it is) and a bit or turning. I also agree that nobody will spot a slightly larger bore of 0.010" even if I leave the joint as bare metal.
Just to confirm the issue;
This morning I put the wheel back on its axle (in the lathe collet) and measured the OD runout and it was less than 0.001". I put the wheel against the face plate with the live tailstock centre pushed into the wheel bore – just enough to keep the wheel against the faceplate as I clocked the outer diameter. This time the run out was 0.0035". To me, that suggests that the bore starts true at the back of the wheel (the direction it was bored) but goes for a walk towards the front of the wheel.
Just making some clever clamps for the faceplate and I will get a very stout boring tool ready.
Phil H