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Newbster, can you confirm the appearance in the photo's that this lathe doesn't have a Morse Taper? if it does then Les is right just buy a new one. If as I suspect there is no MT, then gently file this one into some sort of shape and use it. Or get one that fits into your chuck now you have one! e.g. https://www.yandles.co.uk/planet-mc02a-multi-chuck-drive-centre-2-prong-1-254mm/p4774 (not recommending this one particularly just put it there for the picture!)
Given that there may well be some metal fatigue present, with the drive dogs getting a bit soft, I don't think I'd bother to try to re-shape it.....and anyway, you can get a new one for a little over a tenner!Les
If you really want to refurb I would build the wings up with a migwelder then regrind to shape. Similar method used on lawn mower blades to good effect when the blade gets badly dinged.