Still don't see how a 1 M resistor can get so hot that it fries itself and scorches the board through to the bottom side. 1 W of heat in a 1/4 W body would take 1000 V RMS or DC.
Possibly the resistor has gone low in value, although they don't look the type that do? - historically it was a relatively common fault, with high voltage resistors going low in value, which makes them dissipate more power, which in turn makes them go lower still etc.