There ARE thermal cutouts on this oven. See here:
http://tinyurl.com/pknrwf8
I see there is a fanto keep the controls cool (Item 1 in the above diagram) - that may have failed and not cooling the controls
Main spares page here -
http://tinyurl.com/q3m59ky
It is probably a matter of following through logically but it may be worth contacting Ransoms for advice.
Fluff
February 2015