At this point Mark, I'd recommend using pure cotton balls to clean the corrector with 100% Isopropyl alcohol (can be found at a pharmacy). Then clean again with cottons balls and distilled water and use folded Kleenex tissues to absorb the water droplets off the glass.
Smearing the corrector doesn't do any damage; the coatings can be scratched by dragging particles across the glass, but there shouldn't be any more particles to worry about since you've already had a go at cleaning.
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