The head control thing is interesting. Both my kids were born 3-4 weeks early. But were trying to hold their heads up almost immediately. They were also very alert and aware newborns. I have many pictures of them eyes wide open. My DS especially didn't even want his head supported. He'd get cranky. He was just generally a little bit bitter until he could crawl! Then he was happy as a clam.
My mother talks about when I was born one of the OB nurses carrying me around at the hospital showing me to all the other nurses because I was the most alert newborn she'd ever seen. Never thought of that as being a GT thing, but who knows!
