In one scene Grandma is run over from behind. In another she's run over directly facing the oncoming sleigh. In yet another shot of the scene she turns her head to the side as the sleigh hits her.
In one multiple shot Grandma is face down in the snow after being run over. When Santa stops to attend to her, she's on her back instead, arms still out. None of the snow is disturbed, so she clearly didn't roll over, and the note is nowhere to be seen.
When the elf comes around the corner of the cabin, he has bare hands, and in the next shot, he's wearing his green gloves.