There is no reason to even bathe a newborn. The vernix that they are born with is so good for their skin! I rubbed it in on our youngest instead of letting the hospital bathe her and she is the first that didn't get that horrible dry skin. Their smell helps mom and baby bond more, your milk comes in faster when you smell that smell. Wipe their bottoms off when needed and let them be.
Grace didn't have her first bathe (besides wiping her bottom and spit up out of her neck rolls) until she was 4 weeks old. The only one that hasn't had dry skin. Newborn dry skin is not normal!