Durham Crem is Durham South Road, first entry on that link PH has shown .
Meadowfield and Durham south road are the nearest council run cemeteries, and South Road also has the crem as part of its premises. By 1977, it could well have been a cremation.
However other Anglican churches were also used such as St Cuthberts Anglican Church , north road, located near County Hall. Many great and the good of the city are in there. I don't know where their records are kept though. ( not to be confused with the St Cuthberts Catholic Church in the city unless he was Catholic that is ).