Is your charging system stock? If so, the '34 had a fixed rate charging system. The generator would put out a fixed ammount of current regardless if the battery is fully charged or not.
With the engine off, turn on the lights and watch the ammeter to see how much the lights draw. If the draw more then 10-12 amps, the ammeter will show a discharge when you are running with your lights on. If so, you will have to adjust the generator for more output, but more output may overcharge the battery during daytime running.
This is an on going problem with a fixed rate charging systems. Ford went to a regulated charging system later in the '30s to overcome this situation. A lot of us with the earlier Fords have converted to a later generator and regulator so the battery will stay fully charged and we are able to drive at night and not overcharge the battery during day time driving.
I hope this helps,
Chris