TOMT: Children's story about a duck who carries friends in his gizzard

I remember having a children's story read to me in the early 1980s, either in a library story time or maybe at a daycare.

In the story, a duck goes on an adventure. The duck meets several different characters who want to come along with him, and the duck carries these other characters in his gizzard, regardless of how big they are. I don't remember anything else about the plot, although presumably the duck runs into a series of obstacles and coughs up the appropriate character to help him fix each one.

This story was the first time I ever heard the word "gizzard", and now every time I hear it I think about this story.

Any ideas?