You asked
How might I gain information from the Department of Health and Social Security relating to my period of registered unemployment - I want to gain access to records as recorded by my local Unemployment Office?
We said
In order to discuss your individual benefit records you would need to contact either your local Jobcentre Plus office, or apply to the Department for Work and Pensions (DWP).
DWP contact details can be found through the following web link;
https://www.gov.uk/government/organisations/department-for-work-pensions