Ed, You are correct, I transposed the Cathode and Anode above.
I finally solved one of the more difficult problems with cleaning cast iron. Its not just a single solution, but rather a series of steps that can be followed.
1. Pre-treat in a lye bath to loosen and remove hydrocarbon based compounds. (2 or 3 days)
2. Scrub with stainless scouring pad to remove the crud and as much loose rust as possible.
3. Electrolysis bath the item and run it until the rust and remaining crud are loosened. (6 hrs or so, current dependent)
4. Scrub and rinse the item with the scouring pad until it is free of most external material.
5. Dry it on the stove and by wiping down with paper towels. The water must be removed fast!
6. Wire brush the item until it has a smooth surface free of lumps and clumps of stuck on material.
7. Put it back in the electro bath and run for about an hour. This will convert remaining rust particles to ferrous iron.
8. Scrub with scouring pad again and a bit of dawn detergent.
9. Rub down the item with white vinegar and continue rubbing all surfaces with paper towels to dissolve ferrous (black powdered) iron. (3 minutes!)
10. Rinse with water, immediately place in the lye bath to neutralize the vinegar, then scrub and dry on the stove. Treat with oil or crisco.
The most difficult of the above steps to figure out was the vinegar wash to remove the ferrous iron from the surface. I tried various methods of washing and could get most of the black stuff off but there was always a residue. This is because a cast iron surface is not smooth at the microscopic level. Its full of pits and imperfections that the black dust can hide in. The vinegar dissolves and removes this dust. Its very important to control the time vinegar is on a cast iron surface since it also eats away the iron. If properly done, the iron will be nearly residue free and in very good condition to season.
Why go through all the above steps? Well, the result is the best exterior condition I've been able to achieve.