Thank you for your question.
It can be quite alarming when your wee caged bird starts laying and eggs and doesn't seem to stop. But there are ways of modifying her lifestyle to discourage her from laying eggs.
First, I would advise not removing the eggs from her at this time. When the eggs are removed right after laying, we usually end up with more being laid (which is not desirable since we are only stressing her body, not aiming to produce more babies). If we let her sit on them, this will usually "turn off" the ovaries and stop egg production. It might be worth letting her have them for about week after she has stopped laying.
As well, we can discourage egg production by cutting back her hours of light to no more than 10 hours a day, as we simulate winter (when birds shouldn’t be laying eggs). You can achieve this by covering her cage or keeping it in a quiet, dark room for the 14 hours of her ‘night.’ This will help modify her hormonal chemistry and discourage egg laying. Usually this is done for two weeks. If after the two weeks, you aren’t seeing an effect, then decrease the daily light exposure to 8 hours for a following two weeks.
Besides altering her light sensitive hormones, you can also make dramatic changes to her cage to make her not want to continue laying eggs there. This includes removing any beds, mirrors, or toys (that she might be particularly attached to) and moving the remaining items around the cage. At this time, also remove any possible nesting materials and make sure there are no dark, warm cubbies to set up a new nest in. Alternatively, you can even change her into an entirely different cage in a different room. Basically, the bigger the change, the more she will feel that now isn’t the time to be egg laying.
In addition, do avoid petting your bird on the back, stomach or under the wings as this can stimulate ovarian production and potentially lead to more eggs.
If she doesn’t settle down with these, then it would be worth having her evaluated by her vet and considering hormone therapy. Your vet will be able to advise you if it comes to that. Finally, if you don't already, consider calcium supplementation (like a cuttle bone) in this bird.
If you don’t already have a specialist avian vet, you can check where you can find one at http://www.aav.org/search/
I hope this information is helpful. Please let me know if you have any further questions. If you have no further questions, I would be grateful if you would press the wee green accept. Thank you, Dr. B.