If someone dies in Ireland

English-language process; close ties make UK repatriation simple.

Reporting the death

Registered with the local Registrar of Births, Deaths and Marriages; a sudden or unexplained death is referred to the coroner first.

Irish death certificate (English).

Straightforward to the UK and the rest of the EU via a funeral director.

Burial and cremation available.

Consulate assists where the person was a foreign national.

Check the travel/health insurance first — repatriation is expensive and is often covered.
The death is registered where it happens; the local authority issues the death certificate.
To use that certificate back home you usually need an official translation and an apostille/legalisation.
The embassy or consulate can advise and liaise, but cannot pay funeral or repatriation costs.
You generally choose between repatriating the body or ashes home, or a local burial/cremation.