Little c got a Bitty Baby for Christmas, and I've been on a pattern search for clothes to make! I found this crocheted sweater and hat set on Ravelry - it is a pay pattern, but definitely worth $4.00. Here's the link. I had to go down a hook size to get the right gauge. And I think it would make a good newborn size if one used a size up hook!
I added a rosette on the hat ....
.... and pearl flower buttons.
Happy Creating! Deborah