Thank you for your question
My name is Clare
I shall do my best to help you but I need some further informtaion first.
How much is the house worth and did your late mother leave a Will?
Does your step father still have mental capacity?
When your step father's savings run out then you can get help form the local authority - but ONLY whilst you are selling the house - and then the money they have spent will need to be paid back.
You can however protect half of the house value even at this late stage.
However this will need you all to agree and sign a Deed of Variation of your late mother's Will leaving her share of the property to you and your step brother.
Even then this can be challenged by the Local Authority - but you have a reasonable chance of keeping it safe
Please ask if you need further details
You will need to go back to the solicitor who helped you deal with the estate and discuss it with him or her
You are most welcome - I hope things go well