These hooded cowls are so easy to crochet without resorting to a pattern. I picked up the basic idea of how to make a hooded cowl from this pattern, but I have made adjustments.
http://idesignadventures.blogspot.ca/2012/11/hooded-cowl.html
For a one-year-old child, chain 35 stitches with thick yarn such as Bernat Blanket Yarn using an N-9mm hook, make a magic circle and double crochet three rows for the neck. Reduce the stitches by 10 for the face area and make 6 more rows. Join with a top seam and crochet around the face, adding ears if desired.
Voila- an adorable hat.
Post a picture and before you know it you will have requests for more hats than you can crochet. Etsy wanted over 6 dollars for patterns for animal hooded cowls. Instead, I unearthed the free pattern to give me some idea of how to make a hooded cowl, then adapted the pattern.
My results were a wonderful surprise.
freedom crocheting 
I tried this pattern & it did not work out correctly. When you say reduce stitches by 10, do you mean 10 double crochet decreases in that row?
After crocheting the neck section in a circle, like a cowl, you simply leave ten stitches uncrocheted when you get to the face. Now you will be crocheting not in a circle but back and forth in a U shape.
Looks like I did not leave the correct link to the pattern- here it is
http://idesignadventures.blogspot.ca/2012/11/hooded-cowl.html