Hi Volvic.
If you do contact the City Cemetery, ask them to cross-check with Dundonald Cemetery as well.
A relative of mine, died 1913 in the Sandy Row area of Belfast, I had assumed her burial took place in the City Cemetery, she was not there, but the gent in the cemetery office got Dundonald to do a check and that's were she was.
Chis. that's interesting about the cemetery at the back of the old Workhouse. It would be hard now to find out were it had been, with all the changes that have taken place to the hospital since those days. I wonder was it only used for workhouse inmates ?. I suppose we'll never know.
Regards,
Dixie