Terminally ill Administrator

I have a case where we obtained Letters of Administration for a deceased. All the cash has been collected in but the sale of the property fell through and it is still on the market. The administrator has been diagnosed with cancer and is severely ill herself. We are trying to make contingencies for if she dies before the sale goes through.

Would it be possible for her to appoint a new trustee do deal with the administration of the estate while she is still alive? Most likely, it would be her daughter who has helped her mother with the administration.

If not, is there any speedier process for Newcastle to issue a grant in the name of the daughter?

Or are we looking at making a fresh application and could we do this sooner rather than later?

Having looked at this recently, the only solution I could find during the life of the administrator was s.114 of the SCA 1981 but that appeared to require an application to the Court and only seemed to be applicable where there was a minor beneficiary of the estate.

I would interested to hear of any other solutions.