Now then A10boy were getting into physics here - so from a farm boys study of turnips I have discovered (actually by watching Prof Brian Cox and attending our local U3A science section)
Electrons are negative, Protons are positive, Neutrons couldn't care less
So possibly (someone correct me if wrong) electrons will travel from the negative terminal to balance the positive charge at the other end due to natures dislike of an imbalance.
So again possible our definition of current is a bit ambiguous in as much as it's not like a flow of water or substance but a leveling out of bits of atoms.
On the other hand it could be smoke right enough