Of course I have to preceed any advice with "Do Not Do This".
However, if all your trying to accomplish, is to run the wood stover blower when the oil blower comes on, then just remove the power source from the wood blower, jumper it to a new source i.e.- the oil blower power source (assuming the circuit is voltage compatible and doesn't trip the overloads if applicable).
Again, this is probably not a good idea for reasons too many to mention here.