On the back of this book it says:

Libby-Lee's mother is a champion when it comes to purring, she goes up a tree every time she meets a dog, and she consults regularly with her cats Rosencrantz and Guildenstern, because she speaks perfect Cattish.
But the main character in this book is unmistakably Libby-Lee herself: a little girl who isn't always tidy, calm or well-behaved. In other words, a totally ordinary girl, who has ordinary children's adventures with her catlike mother and her ordinary father. There is a giant french-fry machine and poor old Mr. Thousandclean, there is nasty Mr. Pinkypank (rich and stingy), a bad-tempered Santa Claus and a witch's umbrella with rather unreliable magical powers. Nothing unusual about any of that.
But still: there is something funny about Libby-Lee's mother. Her cats are always telling her secrets, and she's always shooting up into trees she's too scared to climb out of again.
Libby-Lee was written in 1961 as a musical story for young children. The serialization based on the musical was published in TeleVizier, with illustrations by Fiep Westendorp. This is the first time Libby-Lee has been published as a real book.