speedy, what color were the wires that got removed? there is a possibility that the indicator circuit is backfeeding through the low beams. if that rodent chewed on a wire behind the dash, there is a possibility it was a ground wire.
MrMarcDude, if you're sure the hibeam filiment isn't just burnt out, try checking the red-black wire on the back of the headlights. It sounds like your problem could be a ground issue. If one of the connectors looks like it has been overheating, clean off the contact on the light and replace the female connector on the wire. if that wire is ok, then inspect the red-white wire behind the speedometer for a short to ground.