Signals are actually sent on two wires; one for the signal and the other for the return current. If you don't have a physical return wire, then the current will find a way back through the ground.
If you are sending (conducting) a signal through the wire:
There is a voltage gradient along the wire and a current in the wire. Per convention, electrons move in the opposite direction to the current. The current is dQ/dt, which means that charges are moving across a point in the wire, but not how many and fast individual electrons are moving..The instantaneous current is proportional to the voltage gradient along the wire. If this is in air, the signal travels at the speed of light (1/sqrt(permittivity times permeability of free space)). The ratio of the voltage and current is the impedance, which is probably somewhere between 10 ohms and 377 ohms (impedance of free space). If the signal is terminated in a matching resistive load at the far end, the voltage waveform and the current waveform are in phase. The Poynting vector integral will give both the power flow and direction of the signal. The power, the E field and the H field, are both BETWEEN the wires and not IN the wires.
Transmitting signal into space:
The wire is terminated so that there reflections at the ends and standing waves (both current and voltages) on the wire. If the wire circuit is a resonant antenna, the accelerated electrons radiate energy into space..