Basket Weave Baby Sweater from www.carole.barenys.com (free pattern)
The 1x1 rib as well as the smaller needles make for a dense, very warm hat. The stitch is also super stretchy so the pattern is written in one size with changes to the length to accommodate different sizes. Ravelry pattern. Free.
Basket-Weave Baby Hat - easy but smart free pattern by Carole Barenys
Baby Sweater made from Baby Girl Fair Isle Cardigan Pattern at Purl Soho