Back axle pinion shaft conundrum

[Urgent Austin]

Many thanks for your help - never knew that!  I looked at the link.  I can get the bearing housing machined out to take the wider bearings.  Can anyone tell me how wide the outer rings should be, just so I can be sure the ones I've got are too wide?  And for belt and braces, how deep is the original housing pre-machining (to avoid re-machining one that's already been done...).

And, even with this modification, what do people think about the taper end in that photo?  Should it only come out 1/32" further?  

Many thanks,

Geoffrey