You are right to be concerned.
Egg laying is something that every female bird can do without benefit of male birds. Of course eggs laid without a male to mate with are not fertile and will not hatch. Laying, in birds other than chickens and other food source poultry, is not healthy and shouldn’t be ignored. All steps you can take to stop this behavior should be taken and right away.
When a bird lays she’s got a very increased risk for egg binding or Dystocia, both potentially life threatening situations that would require immediate veterinary intervention. Even if it’s in the middle of the night on a weekend or holiday.
You have to have a vet who knows you and your bird, ready to open their office for this emergency; or have an urgent care clinic you know about and know how to get to.
Whether the bird is laying or not, make sure you provide fresh cuttlebone to females at all times to help maintain calcium. Other good sources of calcium are in fresh foods such as kale, broccoli, chard tops, spinach and collard greens.
By leaving laid eggs with them it should discourage laying more for a while.
If you notice any egg cracked or broken, however, it must be removed since this is a breeding ground for bacteria and other potential infectious problems. Remember, eggs are the number one modality to grow viruses in development of vaccines; they grow other things as well!
Putting in some fake eggs, often available at craft’s stores, is an idea too. Just be sure to use plain wooden types or enamel, plastic - a type that has nothing dangerous for a bird to possibly gnaw on.
There are online sources that provide fake eggs for the species. One example is right here http://theeggshop.com
You might want to increase her nighttime hours to 13 or even 14 sleep instead of 12+12.
Another option is to move things around inside the cage. Change out her toys, switch perches, rearrange feeding and water cups - make it look 'new' to her. Even moving the actual location a little bit can help.
Other precautions are to not pet her under her wings or touch consistently from the mid-back down (this can trigger egg laying).
No feeding her from your mouth, which is just a good idea anyway since we have far too much bacteria there to be safe for a bird.
No feeding soft foods from your fingers which may be perceived as regurgitation, another mating behavior.
If egg laying continues or becomes chronic, you must consult with an avian vet or other vet who is well experienced with birds. Chances of severe health complications exist in over-layers.
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You are obviously very involved, caring and smart --- keep up the good work!