+1 to Jason's grade of Brass warning. If the Brass is original, it's composition will be uncertain, but almost certainly soft.
A century after your clock was made, Brass-making was much better understood, and a whole range of different brasses were available. Properties vary from soft (easy to bend) up to hard (bend resistant), so go for a soft one.
However I believe all Brasses work-harden, that is start soft but toughen up considerably every time the metal is moved. Therefore bends often have to be done in several stages, where each interim step starts by annealing the metal to soften it
Not tried it but annealing Brass for simple bending doesn't appear difficult. Basically heat the Brass to about 500C for a few minutes (glowing slightly in a dim room), then allow it to cool slowly. (Annealing gets much more complicated depending on the goal, but KISS applies for this job.) Main thing to avoid is overheating the metal.
When bending, sheet needs to be held firmly along the full length of the turning edge, for a big sheet 2 lengths of angle-iron bolted back to back with the sheet sandwiched between will work. Ordinary vice jaws work for small objects, but don't use the serrated hard jaws normally fitted to a metalworking vice. (To avoid marking work I swapped my hard steel jaws for home-made mild-steel.) The bend may need leverage, or can be done by tapping the work over with a mallet or a hardwood strip whacked with a hammer.
Thin sheet is much easier to bend successfully than thick. As Jason suggests, because your Bridge looks rather thick, milling one from solid may be more satisfactory all round. (Not having a milling machine, the original clockmaker would have been forced to either bend a strap or file a casting. We have more choice – milling machines eliminate a lot of skilled but boring filing…) Bending sheet is generally done for cheapness, but it requires the right gear to do it. Like a furnace and apprentice, or a furnace and a bending machine! In this case, a replacement part can be made to a higher standard (stronger) than the original.
After getting the material and technique sorted, practice, practice… Most of my early attempts at bending are an embarrassment.
Dave
Edited By SillyOldDuffer on 14/01/2020 13:13:16