I had a Lawn Mower that used Points to fire its coil, Accept the coil had 2 secondarys not one. Plug 1 would fire a short time just after Plug 2. I also had a Coil that would fire both plugs at the same time. Anyhow, There is not much information on the net on A double firing coils schematic!
People seem to upload photos of schematics where the coils both are in parallel or fire at the same time, this is not correct. I will Provide here a Real Schematic that I Seen on google images that looked legit.
I fixed my lawn mower by adding 2 car ignition coils to it. There was one set of points, one condenser. I added bother 12volt Primarys in series, and the Secondary coils was wired in series and in parallel.
This way Plug one would fire, Then Plug 2. The delay can be seen with an human eye. The lawn mower would run only one way out of 4 different combinations because the wiring of these coils effected the time that the plugs fired. I can take a video of how I have the coils Wired if you like. At one time i Had the video on youtube to help others that could not find that specific coil.
Explaining this setup isn't easy Say you have 2 coils boths coils is a ignition coil. Both Contain a Primary coil, Both Contain a secondary. Remember you have a Battery 2. I Hacker, Well he is just that. You have to be a hacker of the Primary coils.
you put the primary coils together in series not parallel. Even though they're 12 volts, you put them in series. This does not run well with the mind. There is 8 ways you can connect 2 coils, there is A number of more ways, (i'm not doing that math) to connect the secondary.
Ones mind does not know this until shown, then it becomes clear. I only covered a Primary setup, Not a Secondary

You are using chokes, Think about a double firing coil. I hope this helps motivate someone in some small way....