English hospital date-of-death series is published by NHS England. The Govt number reported is bigger as it covers the whole UK, includes all deaths & is not by date-of-death so includes deaths from earlier dates.
The original files are here: england.nhs.uk/statistics/sta… and contain data for each NHS Trust.
ONS publish total deaths by date-of-death but weekly & with a lag.
Go to gov.uk/guidance/coron… for an explanation of the different testing pillars.
You can see all the local data at coronavirus.data.gov.uk in the cases csv file.
These are no longer updated at weekends so no new information on hospital admissions in England between Fridays & Mondays.
Not guilty m'lud. This is an NHS England classification so ask them!!