I would imagine if you viewed the death registration for John in 1918, there would be a reference to an entry in the Register of Corrected entries (normally indicated by writring to the left margin of the death register entry).
The newspaper entry that aghadowey mentioned:
Hamilton Advertiser, 25 Nov.1916: ... 6. JOHN QUINN. Steelwork Labourer, Railway Cottage, Park Street.
This is a reference to an up and coming Fatal Accident Enquiry following his accident.
The RCE document, if linked to his death registration, will make reference to the enquiry and findings. You can see from the page on SP whether there is a RCE link to be viewed.
What did brother William die from in 1903?
Monica