M.
You could always use SPF clothing or sun tents (if she's not too mobile right now) - just a few examples:
http://www.onestepahead.com/catalog/product.jsp?productId...
http://www.onestepahead.com/catalog/thumbnail.jsp?siteId=...
http://www.coolibar.com/children-s-infant.html
http://www.babybungalow.com/phandteredt2.html