As you mention, an application will need to be made to the Court of Protection to deal with your daughter’s half share of the house. Any application will need to be considered carefully to determine what is in your daughter’s best interests.
There are a number of issues that need to be considered before deciding whether this is an appropriate option for your daughter. I would recommend that independent legal advice is obtained to review the options before an application is made to the Court of Protection.
The Mencap Wills and Trusts team can provide you with a list of legal professionals for your area who may be able to assist. The team can be contacted on 0207 696 6925.