How did people in the Arts and Crafts movement attach narrow wire
designs in silver to bronze?
Your query is too general to give a definitive guide. You will need
to define the end product.
However if its fine silver wire as in cloisonne enamelling, then the
wire is fused down onto the bronze or other base metal by the first
and hard enamel ground coat.
If its thicker wire like say 1mm square, then it will be soldered on
with small chips of silver brazing alloy.
Whatever the final product might be will determine the method used.
With more from you we can then give a better answer.