Yes glen, they taper in. Some of the wide ones have a radiused rebate in the sides. The front ones have lower profile rubber on the front wheels and there were some with no rubber at all (Aust. pat.)also on the front (adjustable) axle.
Also there were some 5 spoke (U section) LP2/2a wheels. Wheel bearings are interchangeable between the two types (northern hemisphere and southern hemisphere carriers)
I was going to suggest you quickly get yourself of to the doctors, but I'm not sure there's a cure for this disease?

A single high dose of lead works, but it's considered very drastic.