There is no Alfred Jones listed as a jeweller in the 1900 or 1904 Kellys. There were, however a number of jewellery firms named jones9almost the same with one addition but several different addresses) :
1900
Jones Brothers, silversmiths, 2 Caroline st
Jones & Crompton, silversmiths, 56 spencer st
Jones R. H. & Son, goldsmiths, 114 Vyse st
Jones John Neville,,working jeweller, 9 Moreton st
Jones Richard Henry, goldsmith, see Jones R. H. & Son
Jones Reuben, goldinanfactr. seal & key, 5 Warstone par. east
Jones Thos.Chas. gilder &c.Hartington buildings,Branston st
Jones Thomas Walter, patentee & sole manufacturer of
" The Castle link," also studs, sleeve links & solitaires in
gold, silver, gilt, pearl, ivory & gold plate, 48 &50 Hylton st
1904
Jones Brothers, silversmiths, 15 Caroline street
Jones & Crompton, silversmiths, 57 Harford street
Jones R. H. & Son, goldsmiths, 114Vyse st. & 16 Hockley st
Jones Arthur, manufacturing jeweller, 50 Augusta street ,
Jones John Neville, jewellers' factor, 33 Tenby street north
Jones Reuben, goldinanfactr. seal & key, 5 Warstone par. east
Jones Richard Henry, goldsmith, see Jones R. H. & Son
Jones Thos.Chas. gilder &c.Hartington buildings,Branston st
Jones Thomas Walter, patentee & sole manufacturer of
" The Castle link," also studs, sleeve links & solitaires in
gold, silver, gilt, pearl, ivory & gold plate, 48 &50 Hylton st
It is possible that he worked for another firm or for someone called Jones (hopefully) in the family. If any of these are of interest and you would like me to look in later directories for them (or for alfred in later directories), then let me know
Mike