"... since BillD came up with a great way to get the stains outta the toidy..."

I wuz readin', and I couldn't see where you perzactly said it you tried it and worked....wuz I right? (it sure worked for me!)
I have found that on very hard surfaces like glass & porcelain, scraping with a sharp edge is about as easy as chemicals and brushes. And once an area is in purty good shape, Bon Ami does wonders at final clean-up and polishing.