Be careful here: the forms of cases and dials changed very gradually according to local fashion and subtle differences can be very significant.
The next step is to decipher the name that is painted or engraved on the dial face and see if you can find it (or something similar--spelling was informal, at best) in the makers' listings in Watchmakers and Clockmakers of the World by Baillie or Loomes.
c1840 – coiled wire gongs were used in English bracket (shelf) clocks.
c1890 – chime bars, also called chime rods, were introduced to clocks. c1882 – Seth thomas introduced clock models in Adamantine veneer finishes which mimicked marble, slate, wood grains and other materials.
c1780 – second hands began to be added to longcase clock dials.