I found some pretty patterns for baby hats that use baby yarn. I don't mind working with that lightweight of a yarn for small things. The pattern for the two Baby Ripple Hats at the top can be found here at Toasty Frog.net. It matches the Baby Round Ripple blankets I've been making, so I'll have to see if I have any leftover yarn to make matching hats for the two blankets.
The pattern for the Lacy Stitch Newborn hat at the bottom can be found here at Lacy Crochet. That one was a little tricky. I'm still an Advanced Beginner crocheter, so the intermediate pattern took some concentration.