I'd say, lose the 8 volt battery and replace the coil. Odds are, your coil was on its last legs and wasn't able to provide enough voltage on a hot start. The 8 volt battery just did to the coil what it did to the lights. I don't know if your car has a voltage regulator or a cut-out but that might need looking into.
8 volt batteries, IMHO, are just a band-aid for an ailing 6 volt system. They make everything seem better, for a LITTLE while.
6 volt systems, like 12 volt systems, work fine when everything is hunkydory. Mine was still working great when I switched to 12 volt. I just wanted decent FM and to be able to get all my lamps at Wal-Mart
Mike