All my presents came from Santa, as far as I can recall. Anything that came from an aunt or uncle must have had its label removed by my parents, so that it was a gift from Father Christmas, rather than from a family member. (It saved on writing 'Thank you' letters, anyway!).
I've not had kids of my own but when I've sent presents to young family members (or to the children of friends) I've always labelled them as being "from Father Christmas" (rather than "from Chris") until they've got past the age of believing in him.