Some good advice from many, If the bungalow is jointly owned by your Mother and yourself as tenants in common or joint tenants (joint tenants own the entire property and on the death of one the survivor inherits, tenants in common own a percentage of the property in your case 50% each and can be left as you please in your will) The value of 50% of a house is usually nil and I do not see how a LA could demand you repay any expenditure.
I think we all know that kate means the mobility scheme which would requires the mother of Poulus to be in receipt of the higher rate mobility component of Disability living allowance, the maximum age for a new application for which is 65,unless she had made a successful claim prior to her 65 birthday or is in receipt of a war pensioners mobility supplement and required a modification to a standard car, she may be eligible. If in receipt of Attendance Allowance this will unfortunately not help.