You didn't say where the burned wire was, but be sure and check the fuses, the wiring at the alternator and battery. Also be sure the starter solenoid wire is in the correct solenoid terminal, if there are 2 of them. If you have a test light, you can disconnect the solenois wire(small one) and see if it lights the light when the key is turned. Sounds like it won't, though. Possibly the wire that burnrd has been melted further up towards it's power source.
76 Camaro/mild 350 .030/M21/Z28 body parts/lotsa other goodies