Hi,
If you move the chick and any remaining eggs, the pair will likely reject them. Parakeets need a stable environment in order to breed, so if you try to move them, they will just abandon the chicks and eggs. While far from ideal, you will need to leave things as they are and hope she can lead the chicks out the way she went in. Or if you know how to hand feed, you can get the chick and feed it yourself. Obviously block off that hole once all of the birds and eggs are out. Your birds should be flying or roaming free where they can access something like this. Loose birds must be supervised, and put in the cage when you can’t be watching. This type situation may not have a good outcome, which is why it is so important to keep your birds safe in their cage or flight and have a safe, controlled environment for breeding.
Thank you for asking Lafeber,
Brenda