Quite a few of my Socklets have the same shaped head: a large, long dome reaching majestically, no doubt containing a clever brain of great proprtions. However, the ingenious use of a circle of felt with a smaller circle cut out in the centre (like a thick letter o) pushed partway down this cranium, suddenly transforms the head into a rather nice hat. See?
A rather rustic, old fashioned look, but I like it. It just looks like he needs a crook and livestock of some description.