Inboard brakes on a 7? Production cars had live axles, from BMC, Standard or Ford, depending on model.
There were a couple of odd track cars like the 3-7 and 7X. The prototype 7 was another odd one, based on the Eleven, with Climax engine and de Dion rear end.
Can't remember for sure which final drive they used for that one, but it might have been a Lotus casing with BMC internals. I'll have to consult my library.