There is website called "jigidi puzzles", where you can do jigsaws on line. They have different levels of difficulty and pieces, and lots of different types of pictures, eg landscapes, animals. You can leave a semi completed one and come back to it later. It is all free. Might save the disasters happening!
If Er indoors tries the website, might I suggest she starts with a small puzzle to get used to manipulating the key board. I use the mouse to zoom out, then put the side pieces on the left and the others on the right. Hope she gives it a go!
I also build jigsaw puzzles and it can be very hard to find the pieces when they fall and I sometimes drop pieces on the floor I hope that she gets on well with it I'm currently working on a very difficult one called garden puppies from the works.