I started with this:
Magic Ring, Chain 1, 8 HDC in magic ring, join to first HDC, chain 1
Round 2: 2 HDC in each around, join to first HDC, change color (16 HDC)
Round 3: Chain 2, 2 DC in each around, join to first DC, chain 1 (32 DC)
Round 4: HDC, in next stitch: DC - TC - DC, SC in next 5, in next stitch: DC - TC - DC, HDC in next, slip stitch to join.
fasten off, weave in ends.
Turn owl over. You are going to be attaching a series of chain 3's where the brown DC's join the pink (see picture). It's best to start to the right of the ear. Be sure to work clockwise (see photo). To start, draw your hook under the bottom of the DC, chain 3. Now skip every other DC. So your pattern should look like this:
SC and chain 3, skip one, SC and chain 3, skip one, SC and chain 3, all the way around. In the end you will end up with 8 places where you have connected with SC's and 8 chain 3 spaces. slip stitch to join to the bottom of the first chain 3.
Now working inside your chain 3 spaces...
Chain 3 - 2 DC - Chain 1 - 3 DC all in same space, Chain 1, 3 DC in next space, Chain 1, *3 DC - Chain 1 - 3 DC all in same space, Chain 1, 3 DC in next space, Chain 1, *Around, slip stitch to join to the top of the first chain 3, fasten off.
I worked it a little bigger to make the moon and then made it into a square. I just eye-balled it so do not have a pattern.
Then the embellishments:
Eyes:
Magic Ring, Chain 1, 8HDC in magic ring, join to first HDC, fasten off leaving a long tail to sew on.
Sew on no larger than 1/2" black buttons in the middle for eyes.
Beak and Feet:
Sew on yellow yarn with tapestry needle. Loop the yarn through 3 times to make both the feet and beak.