years ago, Radio shaft had a 6Volt to 12V converter that was made so you could run a 12Volt car radio in a 6Volt car. Or, the same device could be used to change from a 12V positive ground to a 12V negative ground.
One of these would take your 6V and boost it to 12V, but remember, if you just used a meter with no load when you tested the voltage, soon as you put a load on it, the voltage will drop considerably.
I think those were rated at 3A outout when converting from 6 to 12V.
I have a couple of them around here somewhere that still work. . .
Doug