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Good morning, how come she did not renew her ILR?
She can apply for replacement BRP for expired BRP it’s an online application. I will send further guidance.
So her leave to remain has expired?
This would make her an overstayer therefore she needs to renew her passport then making an application for leave to remain on basis of British child.
How long has she been in the U.K. on leave to remain?
Has she has continuous visa throughout?
Unfortunately there would be a break in stay therefore would need to apply for leave to remain on the basis of her British child.
I will send the application it’s online FLR FP. She would need to have legal stay in the U.K. for 10 years to apply for British citizenship.
It was a pleasure assisting you today. Take care