hi, thank you for your question. Just a bit more information required to fully assist you:
-Who owns the home?
-How old are the children?
-What other assets and properties do they have?
-What are they asking her to leave?
Thank you for confirming. Firstly, you will need to confirm exactly how the title is held. This is easily done here: https://www.gov.uk/search-property-information-land-registry for a £3 fee
Once you have confirmed how the title is held and in whose name please let me know and I will continue this discussion.