(Electrical) fuel pump and heater stay on when you turn the truck off

My daughters have been driving my old Isuzu pick up to school for a couple months now. 2 mornings ago she called me and said it wouldn't turn over. After a little dinking around I figured out that the ignition relay clicks when you hook up the battery even when the key is off. Which in turn keep the fan/heater motor(if its on) and the fuel pump on all the time and of course drains the battery. Haven't done much to it, just checked fuses and looked for exposed wires. Any help would be greatly appreciated.