I can't actually recall what it was when I was little...

But here, Santa brings a couple of things and the rest are from Mummy and Daddy. All the presents that arrive from interstate or are given by friends are put away until Christmas Day and they are all put under the tree together. Usually I whisk them away before DD sees them and she is young enough to not question any of it yet. When she is older, the presents sent via mail or from friends etc will go under the tree as they arrive and wait until Christmas Day.