There is no biography available on her apart from a small article on wikipedia but I scanned the small note on the artist printed on this book (below). I just loved the strange animal characters found all over the book as well as the two hairy characters of the story.
The remarkable work of British illustrator Paul Cox (born London 1957). I've been a fan of his work since my student days in the early nineties. I love the retro feel he achieves, which brings to mind magazine and book illustrations from the first half of the 20th century. It's got a lovely rhythm and movement while descriptive and humorous. I find the economy with which he creates his characters and background amazing - the postures and expressions on the faces with just a few brush strokes! Here is his official website again with biography and many more colour examples of his work: http://www.paulcoxartist.com/Biography.html