Try to find the spot where the photographer was standing.
Lovely - his name was Blackie
James Knox in 1901.
[http://www.flickr.com/photos/gnmcauley] Our very first Bed Merchant? Do we think it's safe enough to dub this Mr Knox as James Knox? Arundel Square is a very specific area after all - or Anurdel Square as it says in the online census. I had hoped he might be something to do with the Joseph Knox shop on Barronstrand Street, but they were Hardware sellers...
census.nationalarchives.ie/reels/nai001232280/ Joseph Knox in Barronstrand Street
[http://www.flickr.com/photos/nlireland] James Knox is 60 in 1901. Even if this shot is 1884, he would be 45. I don't think this gentleman is that old. I think this might be a son of James Knox who moved out between this photo and 1901.
This could well be Joseph Knox, who by 1901 is 29 and living as Head of his Own Family a stones throw away in Barronstrand Street (with just one servant for company!). He was born in Co. Kilkenny, like James Knox.
I think James Knox's bed shop is now Jessica's in Streetview, which may have been where this Mr. Knox and his dog lived when the photo was taken.
Entering extremely speculative waters: here is a Poole photo of a wedding group for Mr. F Hearnshaw c/o Mrs. Knox, it's maybe 30 years later, and at right is a man with a tache and a high hairline, left-parted: is it our Mr. Knox in his 50s?
[http://www.flickr.com/photos/gnmcauley] Last house on the left in this one? I think it says J. Knox - checked on Super Duper Hi Res, and it's deffo J. and could well be Knox...
In that one, J. Nolan is in #3, which lines the numbers up with the census, so yes, I think the Knoxing shop (sorry :) is last on the left.
That building at the NIAH (dated 1820).
I think Niall is correct in thinking this is Joseph Knox in the photo and probably the same Joseph Knox who's business survived up until the last few years in Barronstrand Street. James Knox of Arundel Square was an Alderman and was Mayor of Waterford in 1897
James Knox passed away around 1904/05, not sure of the exact year. This is from the Catholic Journal,
"Alderman J. Knox died May 3 at his home, Arundel square, Waterford. Deceased had been a leading citizen of Waterford for many years, was a most active member of the Saint Vincent De Paul society and a mayor of the city some years."
[https://www.flickr.com/photos/gnmcauley] Re: the Hearnshaw/Knox wedding, given as it's such an unusual name, this must be Francis Vincent Hearnshaw marrying Mary Knox on 17 September 1946 in Thomastown, Kilkenny - not sure if it's connected with this Joseph Knox or not though there's probably a link there somewhere