Hi Noel,
a colleague of mine kindly visited Mt Jerome this morning on her way to work. It's apparently a very interesting place to visit!
Unfortunately, she was unable to find the Fletcher headstone, but found the below...

It's the headstone for the Fisher family who are relatives of the Fletcher's (this was mentioned in one of your earlier messages).
My colleague went to the cemetery's office and they checked the record book - The Fisher headstone is grave number 48, right next to the Fletcher's in 47. There is no headstone on number 47, seems that there never was, just kerbing around the grave, but she couldn't see any sign of that now.
The grave was owned by K Fisher (they presume she was the person who was buried in the plot in 1963) and they are not sure if she owned both plots. The plot was bought by K Fisher in 1931. They guess she was the mother Kathleen H Fisher who's daughter (Kathleen E Fisher) died in 1931 when she bought the plot next to her relatives, the Fletcher's.
Another interesting point discoverd - apparently the Fisher plot was a 'double plot' and the records show the names of the two Kathleen's interred there, but doesn't show the name of Walter in the record book. My colleague spoke to someone else who's very interested in genealogy and he's told her he'll have a further look at records in case there's any more info to be found (I will update you, if I receive any further details).
Please also note that the records office in Mount Jerome are happy to receive emails at:
info@mountjerome.ie
Not sure if you know that a number of famous people are buried in close proximity - just to name a couple Arthur Guinness and the artist Jack Butler Yeats and lots more…!
I hope the above helps for the moment. Fingers crossed you will be able to find out some more details by contacting the cemetery directly and hopefully other members will post some more pictures.