The laws of inheritance don't always work as we might expect. A critical issue is exactly how your house is owned.
Many people own a house together - but at Joint Tenants, or Tenants in Common? Here is the difference:-
In your Will you may be able to protect part of your house against being lost to outside demands, such as Inheritance Tax, debts, remarriage, residential Care Fees etc - but this will only work if you do not own the house as Joint Tenants.
The ownership can be changed to Tenants in Common, by undertaking a Severance of Tenancy. Your Will writer can help you check the ownership and make the change if necessary.
"But with our house only one name is on the Deeds - what should we do?" The most appropriate course of action might be simply leave the house in one name and make suitable Wills - but it will need a more detailed review of situation before you decide.