Yep. Wikipedia confirm that’s the one I was thinking about.

Gosh, the story is worst than I remembered. According to wikipedia…

When a famine settles over the land, the woodcutter’s second wife tells the woodcutter to take the children into the woods and leave them there to fend for themselves, so that she and her husband do not starve to death. The woodcutter opposes the plan, but his wife claims that maybe a stranger will take the children in and provide for them, which the woodcutter and she simply cannot do.

Yep, off to a good start.