I think in general the Coroner is involved when the death is "Un-expected".

If the Coroner is satisfied the death can be explained often there is no need for an enquiry.

The Coroner issues a Warrant to allow the burial to take place.

So it is possible that because of the age the Coroner was notified and issued his approval to bury without a formal investigation. What the circumstances were may not have been recorded or reported, or they may have been :-)

Herfordshire archives would be my first port of call...