Just as important is to be sure that your axle housing and hub are not worn, if they are then you will never get rid of that play. Les Andrew’s book gives the tolerances for axle housing OD and hub ID. If the axle housing is worn you need to turn it down and sleeve it, that housing can be asymmetrically worn and indicating it properly in a lathe is not quite straightforward (Brent in TN gave a procedure in a post here several months ago, I can’t seem to find it though). Similarly, if the hub is excessively worn then it needs to be sleeved (I’ve seen hubs worn through the surface treatment), if the hub is worn there are repair kits that you can get from the vendors (
https://www.snydersantiqueauto.com/p...6171&cat=41720) that have a sleeve and a smaller corresponding bearing.