Do any of the buttons from the larger version Ferguson remote control work on this TV?
No, none of the buttons seem to be having any effect.
To confirm the mobile phone test, please point the remote from the larger TV at your mobile phone camera and see if you can see light from the end.
Another way to check the remote control if you are sure that the batteries are ok but you can't see any light coming from the end of the remote when you point it at your mobile phone's camera is to get a AM radio.
Tune down to the bottom end and press the buttons on the remote control. You should hear crackling in the radio.
If you still can't get any response from the remote control then you can pick up a replacment for about £11