After a long research on the 'net I did find some answers. The US Department of Agriculture, they have a lovely big building on the mall in Washington but that has nothing to do with potatoes, has a lot to say about this veggie. They even have a brochure you can download. Who needs this much info unless you are twelve and writing a report for school. The following is from an article How to buy potatoes.
Look for potatoes that are free from cuts and blemishes. You should avoid buying potatoes that have a green coloring to them. This "greening" is caused by exposure to natural or artificial light. Sometimes only the skin is affected, but greening may penetrate the flesh. The green portions contain the alkaloid solanin, which causes a bitter flavor and may have a poisonous effect when consumed in great quantities. Also avoid badly sprouted or shriveled potatoes.Wikipedia also has something to say about the toxicity. Seems like you'd have to ingest quite a bit but they do have a scary bit about birth defects. So maybe pregnant moms should watch it closely.
Bottom line: You probably would have to serve a plate of steaming potato eyes to kill anyone but for someone very young or very old or otherwise health compromised it does pose a potential problem. For me, I'll cut off the sprouts but if it's green and the raw potato tastes bitter I'd avoid cooking or eating that one. Not that I have to worry but--pregnant moms--stay away from the green potatoes.
The cost of a potato isn't worth some future health issues. If you're creative you can come up with some other yummy recipe like Acme did. Asian Grilled Steak and Noodles.