Hello Ronald,
There is another, rather tedious way of correcting bell mouthed jaws, I used it many years ago to put my father's small scroll chuck right when it came to me with the Myford ML4 lathe after he died. You need a LOT of patience!!
Use a black magic marker to coat the jaw gripping surfaces first. Then, with a true and round bar in a tailstock chuck you trust, close the 3 jaw chuck down until only one jaw is touching the 'test' bar. Idle the lathe at slow revs, move the testbar in and out to rub the marker away on the jaw that touches.
Take the jaws out and with a fine oilstone, polish that jaw over the bright area, holding it carefully to grind only that bit. Rebuild the chuck and test again with remarked jaws, repeating the process until you are satisfied that all 3 jaws grip evenly both front and back. This also means checking for runout as the polishing proceeds. Look especially for any misalignment along the lathe axis where the chuck tries to grip on the back or front of a jaw. That will show up as increasing displacement of a DTI along the length of a true test bar. Axial displacement alone is parallel to the lathe axis.
As I said, you do need lots of patience; in my case I was rather fond of the lathe and this little chuck, it is now amongst the best in my collection, so it does work.
Brian