Great story!! Yes, it is The Little Red Hen. http://en.wikipedia.org/wiki/The_Little_Red_Hen
The picture of the book in the wiki link is just like the book I owned when I was a little girl.
She says something like "Who will help me (insert all the steps to getting to the point of baking the bread)" and hears, "Not I!" said the duck. "Not I!" said the pig. "Not I!" said the goose. (Not sure if I have the order right.) Then she'd say "Then I'll do it myself!" When she had baked the bread and set it on the window sill to cool, the smell waft out to the barnyard and they all came running. She said "Now who will help me eat the bread?" And here came "I will!" instead of the litany of "Not I!" But this time, she said no, and ate it herself!
I already knew the name of this, but I think that if you remember a line from the book, you can just write it in and you'll get the name of the book.
(Not sure if that helps with your question to Marda...)
Dawn