Now the question is, which wires would I connnect to where? I am
assuming for the TP7000 the wiring would be:-

N -- COM
C -- ON

The remaining wires not being used?

and for the TP7000M;

N -- COM
C -- ON
N -- N
L -- L

There's no point in connection a neutral to the switch common. It will cause
the heating to go permanently off.

L(CH On) -- COM
C -- ON
(TP7000M only)
L(Perm) -- L
N -- N

The old "Live" is probably not permanent live. Old analogue room stats had
connections for CH On (from programmer), Call for heat (to zone valve), and
neutral (used to power a heater to affect hysteresis). I have no idea why
you appear to have two neutral connections, though. It is possible you have
an odd installation.

Unfortunately, if the wiring is conventional you probably don't have a
permanent live available, which may preclude the use of the TP7000M, unless
you either rewire, or disconnect the 'L' line from programmer "CH On" and
connect to permanent live. This will prevent the old programmer being used
as a master control, however. (Obviously, the new thermostat would have to
be programmable as it will disable the programmer's CH timing
functionality).

Christian.