Crompton are a well known motor,I have one on my homebuilt saw bench for the last 50 years. Had to replace one bearing when I got it second hand [no idea how old it is ] and it,s still running.
Any bearing supplier should be able to supply new bearings and they are not dear. Those motors are simple to strip down,take off the end cover [where the connections are] and withdraw the shaft,with the bearings on it. Take it to your bearing supplier [there is one somewhere near you,since they are everywhere ] they will measure the bearing,I would guess it,s 5/8" shaft,I forget the outside measurement of the ballrace,but they will check that too.
It,s then just a mater of removing the old races and fitting the new,and away you go for the next 50 years or so !
I did not have a proper pullers but I made up a simple one which did the job. Ask around,someone must have a pullers,failing that,try your local garage,they should have one.
As an aside,those motors have a switch which controls the starting coils,this cuts out once the motor gets up to speed,now,when the motor is switched off and the speed drops,you should hear this switch cut out with a clear click !! If it does not,it is stuck,and needs to be cleaned,no big deal,just be aware of it. Happened me a few times with my sawbench due to sawdust,should not be a problem on your lathe.
Hope this is of some help to you. They are a great motor,worth looking after.