Hi Pauline, I can see no death record on the Irish Genealogy site, this may be because it was not registered or he died post 1921 in what is now Northern Ireland, or he died during the war of Independence or the civil war say from 1919 to 1923. I see a marriage of a John Murray and Anne Lynch in Trim, Co. Meath in 1909, however she is a servant and he a labourer, it would be normal to marry in the wifes parish so if she was a teacher she may be from anywhere. Both names are tricky as they are common to most counties. I looked at the 34 Cavan Murray deaths as there is no John in case there was a mistranscription but even the ages are not helpful as he would be too young or too old.
I do not currently have access to Roots Ireland, a subscription site and Ancestry does not always have the spouse. Irish Genealogy civil records are free online here https://www.irishgenealogy.ie/en/ sign in but free, no church records to suit so use civil but as I say names are common enough.
There are two Facebook pages on Cavan Genealogy, apply to join and see if anyone knows them, they are Cavan Genealogy and IGP's Cavan Genealogy.
The census has a John Murray in Drumcalpin age 21 living with his father and sister who was born in New York, she is 19. http://www.census.nationalarchives.ie/ This would put his marriage post 1911 so rules out the one I find but at least narrows your search, if you know how many children there was before he died it will narrow the year of death too.
He married in 1912 in the registration district of Cootehill, I still cannot find a suitable death.
Regards
Pat