Benedetto Pistrucci, arguably the most famous coin engraver, was born in 1783 and died 1855. He was 56 years old at the time of the first photographic portrait. Only two years before his death he was photographed by Arthur R Hamilton. This is, to my knowledge, the only time he was photographed - and could reasonably be the first photograph of a British coin engraver!
Most of the images you will find are later (1870-90) reproductions of the original photograph - identified by the black/gray card they are mounted on. I am fortunate enough to be the owner of the original photograph from 1853, signed by the photographer - to my knowledge it is the only one made from the negative and thus the true original piece!