Benefits for US mum?

[Brunhildafair]

US mum married to British husband. Two children both born in UK. Marriage over. What rights and entitlements (if any) can she expect if she remains in the UK?

How long has she been living in the UK (for a continuous period)? What is her current immigration status (visa type / does she have indefinite leave to remain)? Does it say 'no recourse to public funds' on her current visa?

Ultimately it is likely she will be able to remain permanently as the parent of British citizens.
www.gov.uk/settle-in-the-uk/y/you-re-the-family-member-of-a-british-citizen/no/another-way