OK. Did you check the DC voltages with an oscilloscope? My guess would be that the capacitors have dried out and are no longer doing their job so you have excessive ripple on the inputs of the regulators and perhaps also ripple on the supply rails. You can also check using a multimeter in the AC range.
Wait, how bad capacitors can cause DC voltage measured being higher than normal? It can be only the opposite way.
What is meant by overheating, does it stop functioning normally? How big is temperature. Such voltage on Vreg inputs is not something exceptional. If the current is not too high, this can be completely normal. If mains voltage drops to say 100V (at which it must operate, and some tolerance, because it can be even lower than that), then voltage drop on 7815 will be only 6V while 3V drop is a bare minimum allowed, the there must be some margin too.