To answer your question more specifically, you need to tell me which "Madonna and Child" painting you're referring to. For example, you might ask:
* "Who is the artist of the Sistine Madonna?" (Raphael)
* "Who is the artist of the Madonna of the Rocks?" (Leonardo da Vinci)
* "Who is the artist of the Madonna with the Long Neck?" (Parmigianino)
Once you specify the painting you're interested in, I can tell you who the artist is.