The correct order of events regarding the construction of the Brooklyn Bridge is as follows:
- A law is passed to build the bridge. (This occurred in 1867.)
- Washington Roebling's father, John A. Roebling, dies. (This happened in 1869.)
- Construction of the bridge begins. (Construction started in 1870.)
- Washington Roebling is injured. (He was injured in 1870 due to a caisson disease.)
So, the event that happened first is: A law is passed to build the bridge.