That's funny!!
I had that same proble. Cody would haul off with the presents and try to haul off with the extra paper and stuff. I ended up puttng the roll of paper and presents on the dining room table the box of the other wrapping paper i put back in the room . and i just wrapped my gifts on the dining room table. some gifts were put in gift boxes.
now how about we start a thread on how to keep them from under the tree trying to open the presents LOL