I apologize for the delay on this thread.
You can add this account to the same authenticator app. if you notice your mother account is provisioned in children tenant as #ext account.
When you set up guest account same authenticator app, it will get set up as #ext account.
To set this up in authenticator app you will have to account children tenant directly with mother account and let children tenant prompt for MFA. At this stage you can set up this account in authenticator app.
We can work on this offline if you have any questions on this.
Please send us an email on azcommunity [at] microsoft [dot] com with Sub - Attn: Sandeg and following details in the email body:
Link to this thread/post
We can connect offline and discuss further on this.
Please "Accept the answer" if the information helped you. This will help us and others in the community as well.