Help to identify an uncommon thermistor
A much more accurate approach would be to replace the thermistor with a cermet trimpot and adjust the pot until you get specific readings in degrees C, then disconnect and measure the pot resistance. 

You can then find B0/50,B25/50,B25/75,B25/85 and compare to (say) Digikey's filters. Also find the resistance at 25°C (77°F). 

So, resistances at 32°F/77°F/122°F/167°F/185°F. If the display does not go up that high, it might be necessary to use lower values and compare.