Step 1: Lets start with the bacics
to power it, you need a square wave. you cant use standard AC because the coil WILL EXPLODE ! with absolutely NO output AT ALL .

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I have never heard of a 12V lantern battery, they are 6V. does it have any juice left? I had success with as little as 9V if I remember. (not the 9V battery, but a power supply.)
does the relay do anything? if it is buzzing, then change out your capacitor for a different one. small ceramic ones will not work.
from the battery, the power enters the relay coil. here, the relay coil, capacitor and the normally open pins are in parallel. after the coil is magnetic flux built up, the the armature will short out the capacitor and let power to the coil.
the current then creates a magnetic flux inside the coil, where the outputs collects that energy and gives an output. then all the current travels back to ground (other battery terminal, usually negative side, but the polarity of the battery does not matter)
clearly the transistor in this circuit needs a snubber on here, maybe a .5uf capacitor across the primary and a diode in between one leg of the ignition coil, and the collector (or drain) and another HV zener diodes in series, one to prevent backwards flow into the transistor, and let the current go to ground.
that what i think,anyway.
answering your question (i hope i understand what you mean) power (electrons) go from the negitive to positive. when building the circuit, one way perseve this on a breadboard is to split the schematic into 3 parts;
the timer circuit (555, resistors, capacitors, etc it flips on and off a current going to the base of the transistor), so build this and test it with a speaker or oscilloscope.
the amp (the transistor that picks up the small signals from the timer and out comes large signals to the coil, [flipping on and off the power to the coil many times a second])
the coil ( that turning that pulsed DC into a high voltage)
oh, and the ground (3 or 4 lines at the bottom edge) is the - side on a battery and the +12V 6A is the + side of a battery.
so when building, make the first part, then second, then third. as you make it have parts go to the plus side and ground, (minus side)
anyways, no. i never even built this circuit, though others that did say it really hurt. and examining the circuitry, i don't blame them. also, just look at the second picture, to me that is a death spark!
also,the circuit actes like a VCO (voltage controlled oscillator) more voltage, lower freq.