Can you name this fairy tale?

My teacher read this to us in first grade. It is a variation of the kind and unkind girls story (Aarne-Thompson tale 480).

In it, there is a girl who comes upon the cottage of an old woman, whom she agrees to help. First, while the woman is making dinner, her head falls off her shoulders and the kind girl picks it up and puts it back on her shoulders. Next, the kind girl must milk the woman's two headed calf. After that, the girl gets to collect a basket of egg's from the woman's chickens. Some eggs are plain and white, others are gold and adorned with jewels. The woman tells her to take only plain eggs, as those are filled with blessings, and no good comes of the fancy ones. The kind girl takes her advice and when she leaves, she cracks open some of her eggs and gets a beautiful dress, a carriage to ride home in, and a handsome prince to escort her.

At home, her stepmother asks her where she got these things, and of course sends her own child, the unkind girl, to get these blessings for herself.

The unkind girl laughs and puts the woman's head on backwards (I believe), laughs at the cow, and takes the fancy eggs despite the woman's advice, and is chased home by wolves and bees that came from her eggs.

I don't know the country of origin of this fairy tale, or even if it is a traditional tale or if it was merely a picture book made (relatively) modernly. However, the thought of it has been driving me insane, and I must know its name.