Looks like you have a gravity hot water system and a pumped heating system so ho do you know well there should be 2 28mm copper pipes running the the immersion. You say there is no 3 way control valve so lets go back to basic. When the system was put in all the radiators just had isolation valves and you had a timeclock with 2 settings 1 hot water 2 hot water and central heating. The thermostat on the boiler was set to 60-65oC and that would have been that. plus if there was a room stat that would have been wired in series from the timeclock to the pump.
So the old way would have been the timeclock hot water putting a switched feed to the boiler so the immersion would heat up to the boiler temperature then if you wanted the central heating on the timeclock 2nd channel would switch on the pump . As for the room stat well that just means to take the timecloclock 2nd channel supply to the pump and reroute it to the room stat then get the room stat to switch the pump on.
Remember the room stat should be fitted in a room ie hall or lounge and the radiator should not have a TRV fitted plus always run a 3 core and earth to the room stat 1. Feed from timeclock 2.switch feed to pump. 3. neutral connection for anticipator resistor on room stat 4. Earth cable
Trouble seems to be Oldtimer they are not maintaining heat to keep it functioning . Seems like they are clueless,not Donny , the customers.