Thank you. As it happens, I believe that I have fixed this. In case it helps someone else:
Someone had plugged an external USB drive into the server temporarily and it was still installed. The HyperV VSS writer on the host didn't like this and it caused the DPM backups of the guests to fail. Unplugging the drive and restarting the host cured the
problem and everything sprang back to life.
Nigel