Probably not your problem since one side does work but I had a similar problem with my 68 except that several of my lights weren't working. After a few works of trying everything else I discovered my fuse box had formed a layer of surface rust where the fuses snap into. After I took a very small piece of sandpaper and removed the rust from all the holders, magicly everything worked like a charm. Hopefully your problem is something simple also. Like was already mentioned check the ground near the fuel filler neck inside the trunk (at least that's where mine is on my 68).
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