The Martha Stewart Show, Episode 5128
Measure the child's head, and choose a honeydew melon that has the same circumference. Place melon in a shallow bowl to keep it steady, and lightly coat with petroleum jelly.
Mix 8 cups of hot tap water with 1 cup of white glue. Cut a 12-inch diameter circle from wool felt, and soak in glue mixture until fully saturated. Wring out liquid and stretch felt over melon.
Tie a bootlace or cord into a slipknot and slide over felt, halfway down melon. Tighten cord around melon. Pull felt evenly below the cord until the felt above is smooth and ripple-free. Let dry overnight.
Mark the approximate center top of the dried felt with a piece of chalk. Draw a chalk line, 5 inches from the center point, all the way around the felt.
Mark a point on the line that you'd like to be the center-front of the brim on the hat. For the owl: Draw an inverted, convex "V," about 1 inch high and 3 inches wide, centered above this point. For the goose: Draw a low, long arch on either side of the center point, with each arch about 1 inch high and 4 inches wide.
Remove slipknot and loosen felt from melon. Cut felt along chalk lines.
Print owl or goose template and use as a guide to make eyes, beak, and other details out of different colored pieces of felt. Attach felt pieces to hat with fabric glue.