Twice I have stumbled onto an illustrator’s website and twice I have been pleasantly surprised. It isn’t difficult to find an illustrator by using a traditional Internet search.
Today I am including a link to a blog other than the artist’s because the blog has a better collection of the artist’s illustrations than the artist’s website. But the blog provides a link to the artist, in case your need for an illustrator is immediate.
Personally, I would use this artist for a children’s book. Her work appears primarily in magazines, but I love the simplicity of her designs.