I'd play it. Would she just whip out different dolls for the various beam attacks? Drop self destructing dolls to act like the bombs. I'm a bit lost on the morph ball though.
Easy to do with interrupts/mappers/times code, afaik.
But the NES only had the capacity to have two layers, IIRC. One for character sprites and one for backgrounds. For that matter, it only really supported scrolling in one direction at a time, so maps had to either be horizontal-scrolling or vertical-scrolling. Likewise, there was a limited number of character (or bullet) sprites that could be on the screen at once, or it started glitching out and having to cycle which enemies or bullets were visible for that frame.
Basically, the NES was a very limited piece of hardware that was making the best of the limited computational power it had.