No idea what this is called... sorry.

Classic Snow White picture, right?

Now there's the Witch and her arm holding the apple and beside her is Snow White's arm touching her hand. Is there any way I can get rid of Snow White's arm/hand and edit the background to blend in to where her arm used to be? Or is that too "complex" for Photoshop to handle... I'd just like that image of the Witch holding the apple without SW. Any help would be greatly appreciated.

Most certainly not too complex for Photoshop, but will require a certain amount of patience and skill on your part.

Work on a copy of the image in case you go wrong.

Use the clone stamp tool to clone out Snow White's arm. You'll have to be careful around the Witch's hand (where the two hands meet) I suggest making a selection of the Witch's hand and then inverting the selection before cloning this area.

Hope this helps good luck.