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.