I can't speak for normal, but my DH and DS are both confirmed sleepwalkers. DH once answered an (actual) phone call in his sleep, solved a complicated problem at a location, waited to be sure solution was good, hung up and laid back down. 20+ minutes, maybe as much as 40. I asked him about it next day, he thinks I'm losing my mind. He checks the logs at the location and finds out I'm right.
He has also sleepwalked around the house in front of the kids and friends.
DS let himself out of the locked front door, and ran screaming out into a freezing cold night in a nightshirt and socks. I only woke up when the screaming started and the cold air came down the hall to my room. None of this 'don't wake the sleepwalker' business, I had a blanket around me and nothing else on, and the then 3yo boy was wrestling the gate open and sobbing "don't leave me!" I yelled from the door for him to come back in to me, we weren't going anywhere, but I would have gone to him if that hadn't worked.
Rooting around is pretty normal, just like some kids kick themselves all the way around toward the foot of the bed, move from one side of the bed to the other, babble, grunt, or even sing in their sleep. You're seeing it at night because naps are very short, they don't get as much deep-sleep out of nap time.
As this one gets bigger, keep your eyes open for sleepwalking. If it happens, it doesn't mean never having camp outs or away activities, just that someone needs to be between child and door of cabin/tent/etc, or that you might want to consider co-sleeping in a double sleeping bag when in unfamiliar places.