Mango Tree Crafts: Free Basic Beanie Crochet Pattern 7 Sizes from Preemie to Adult
Not a loom knitting pattern but great inspiration! Twenty Something Granny: Knitted Baby Bow Hat. Looks like the bow piece needs to be a little bigger so it's fuller on the finished hat, but this is so adorable!
Patucos de punto sencillos - Tutorial y patrón - Simple Knitted Baby booties - Pattern and tutorial - page is in spanish or portuguese or something, run it through a translator and give these a shot, cute!