You don't have direct access to the name of the image. A possible solution is to use the name
property of the node for it.
NSString *filename = @"img.png";
SKSpriteNode *button = [SKSpriteNode spriteNodeWithImageNamed:filename];
[button setName:filename];
That way you'd have name by simply printing the description of the object.
NSLog("Touched object %@", [node description]);