I was quite convinced that the coax adapter fitting found on the camera would connect to a domestic TV via a cable
No, the BNC plug, the round socket, fitted with two short tiny pegs, is 1v peak to peak video. An ordinary very basic TV has a Belling Lee socket on the rear which is for a modulated RF TV ariel signal. It might have also have Scart socket and/ or yellow Phono socket, either of which will accept the 1v PtoP from the camera. If all you have is the Belling Lee socket, then you will need something more than a simple cable - the usual solution used to be an RF modulator, for an old fashioned analogue TV - if you have such a thing, or even a dual standard analogue, digital TV?