Hi Charles,
Welcome to our NG, new voices always welcome. Whilst I cannot help with the exhaust box, this is certainly the place to ask.
WXII's are more common than you might think. You see them regularly at engine rallies and crank ups, as they are relatively light and small and can be lugged about without too much trouble. They also have an odd look about them, that curious "otherness" so important for collectability and restoration. There are at least two sizes and there are variations - some have cast iron heads, the racing version bronze and the experimental space rocket division made a few aluminium headed models ! There are a few tank cooled, but the great majority are hoppered with the unusual crescent shaped petrol tank.
I like them myself and have a couple buried in the garage. One is part of a very complete and original compressor set, the other just the engine itself. I've had both of them for around thirty years and run them up occasionally, but have never yet exhibited either.
I suspect they are just one of those engines that many of us have in their collections (like Petters PU8's!) but that rarely see the light of day until someone dies and their Iron Charges get redistributed.
Regards,
Kim Siddorn