The bull's eye is generally blind.
The sixth member was a person who, where Social Work was concerned, did more or less as she was told, without doing it particularly well.

The result, very properly, was that all the work which a committee euphemistically calls "organising work" was left to her.

Organising work consists of sitting in 'buses bound for remote quarters of London, and ringing the bells of people who are almost always found to be away for a fortnight.

The sixth member had been ordered to organise the return of the broomstick to its owner.
Perhaps it would be more practical to call the sixth member Sarah Brown.
The bereaved owner of the broomstick was washing her hair at Number 100 Beautiful Way, Mitten Island.

She was washing it behind the counter of her shop.