"Silversmithing" is the working of silver in its traditional format, being hollowware & such, and "Goldsmithing" is the working of gold in its tradtional format, which is jewelry, personal adornments
I guess it depends on the time. In 19th century silver clusters set
with diamonds and backed with gold were very popular, so I am not
sure that definition of goldsmith works in this case.
When I started training, I started with goldsmith techniques which
were making jewellery, regardless of metal, which did not contained
Jewellery with gemstones was covered by the different set
of techniques.
Craftsmen who were specializing in jewellery with gemstones were
called mounters, and setters were always a breed apart. Engraving was
a specialized discipline and belong to the silversmithing camp.
Silversmith and goldsmith also differ in a significant way. Raising
is pure silversmith technique. If you were raising gold chalices, you
were still a silversmith. Technique of stitching (raising metal with
a graver to hold things for soldering) purely silversmithing
technique. Overlapping joints - common in silversmithing, but never
to be found in goldsmithing, and so on.
In today shops, such separations are very rare if at all.
Leonid Surpin