I think the UK actually calls the organization “Social Services”, although isn’t it part of NHS now?
Hi yes we do call it that Anony mous it's not exactly part of the NHS but its run in the same way. Each borough or Shire has its own social services department which is mostly funded by the local council via council taxes with some top up from government. So eg my step daughter is a social worker who is employed by our (next door) borough council. Some services are run by private companies and paid for by the elderly themselves such as "home help" cleaning and "meals on wheels"