"So boiled up, s&p and down she went. No ill effects"
It takes a lot of solanine to poison someone, I think you'll be fine. I'm wondering how they tasted though.
Those are, as Linda said, the fruit and that's where people get new seed stock for creating new strains/varieties of potatoes. They normally don't breed back true but sure can make for some interesting new types of potatoes. You might want to harvest some seeds from them and grow a few out, see what you can come up with. Could be fun!
Shoe (tater head!)