Celephais

The majority of the corrosion I cleaned off was almost replacing(!) the metal that makes up the "bar" that fits over the battery to keep it in place. Is it likely that in that case, it's probably a higher concentration of iron oxide, as opposed to lead oxide, which as I've come to find out have a very similar color? Also, tracked in is probably not the best descriptor. I've only noticed small orangish spots here and there in the carpet. Will vacuuming it be enough, you think?

I recently cleaned some corrosion off of my battery with a saturated baking soda solution, and noticed the resulting substance to be an odd brown color. A friend of mine tracked some of it into the house, and I'm a bit concerned regarding how toxic it might be? I've got cats, so this is specifically why I'm worried. I've been told that the corrosion is lead sulfate, and that the sulfate + the baking soda would create a reaction of PbSO4 + NaHCO3 = Pb + CO2 + NaSO4*H2O Is that valid?