The expiration date is NOT a date that the eggs suddenly go bad..... it's a suggestion and so the stores won't sell them.....as long as they are kept properly refrigerated -- in the box & not in the egg holders or on the door -- they can last several weeks past expiration.......
I've eaten eggs 1 month after expiration & they were NOT bad..... You'd smell them if they were bad..........
HOWEVER, your little one's immune system is not as strong as yours -- it's still growing, so don't take ANY chances with her..... A tiny bit of EColi is very dangerous for a young child....
If you don't think you'll use the eggs, you can freeze them with a little salt -- cracked into a container, add salt & freeze. Use within 1 month.