I am looking for the title of a children's book about children riding in a shoe?

I only have vague memories of it. I haven't seen it in years. I remember the beginning started as a mother told her children the story of her children riding in a shoe with a sail. It has the moon featured a lot, and something about candy or peppermint. Then my memory fails me. The children were named something silly like Winkam, Inkam, and Nod or Nodd. Then it also had a second story about a calico cat and gingham dog that got in a fight and ate each other, and the plate or the clock saw it all.

This book came in a series of children's books that included The Emperors New Clothes. It had a black and white polka-dotted cover with turquoise binding. On the center of the front cover it had a window with a portrait of the mother and her children. This is a one of a kind story, I don't think it had been published more than once.

I know this story sounds odd, but I'm not making it up. It had beautiful pictures, and I loved it so much. I know it's a long shot, but if anyone knows the title, or has a clue, please tell me.