Having read the various replies, I think I was on the right track suggesting a thermometer of the type sold by Amazon. That particular model can read two temperatures at the same time and is supplied with a pair of thermocouples. (If more thermocouples are needed they cost about £5)
Using a thermocouple to take truly accurate measurements is quite complicated involving hot and cold junctions and other fuss. The device sold by Amazon is relatively crude (±1.5%), but all you need to do is position the end of the thermocouple wire at the point the temperature is taken. I guess ±1.5% accurate enough for fizzy's needs.
I'd suggest fizzy position one thermocouple in the steam dome and the other close to the output of the super-heater. As others have pointed out, the measurement needs to be taken under realistic conditions. I suppose that means with the pistons connected so that the pressures at the super-heater output are 'normal'.
It would be very dangerous for me to mess with a boiler to get the thermocouple wires inside but fizzy clearly knows about boilers and fittings. What's needed are boiler fittings that allow a pair of wires to pass safely into the steam space. For me, that's the hard part. Once the wires are inside the boiler, you just plug in the meter and take the measurements.
The other methods discussed are all more or less indirect. Using an IR meter seems the best, but the other options seem to involve corrections requiring a rather deep understanding of steam, for example you can't just take the pressure and easily infer the temperature from that. (Though the technique would be useful in other circumstances).
I wonder if anyone has ever comprehensively fitted a model loco with thermocouples? Comparing steam temperature in the boiler, super-heater, cylinder inputs, and cylinder outputs might suggest improvements.
Dave
Edited By SillyOldDuffer on 07/02/2017 12:37:38