Batwoman was at the Gotham Police Department.
She hadn't come to work a case. When the dense fog first appeared, she realized she'd been transported to an unfamiliar location. This Gotham was completely different from the one she knew, and even its terrain and road layout offered no points of reference.
Batwoman knew that wouldn't do. If Gotham hadn't become any less dangerous while she herself had lost her familiarity with it, she could easily get caught off guard. So she decided to look for the other Batmen.
Visibility was extremely low in the dense fog, and communication devices weren't working well either, so many modern methods were useless. More primitive means of communication were actually more reliable.
Batwoman had come to the Gotham Police Department to find the Bat-Lamp.
She believed that as long as Batman existed in this universe, the Gotham Police Department had to have a Bat-Lamp. So when the first wave of fog descended, she had already gone to the station. But she hadn't expected this universe's Batman to be president. The Bat-Lamp had gone unused for so long that Gordon had stored it away in a warehouse.
After all, even if you lit the Bat-Lamp here, President Wayne in Washington wouldn't see it. You might as well just make a phone call, and State Legislature officials would show up shortly afterward.
So Batwoman spent quite a while tinkering with it. She finally hauled the Bat-Lamp out from a corner of the warehouse, connected it to the power, and adjusted its settings. She had only wanted to test how well it could penetrate the dense fog.
Before turning it on, Batwoman had thought the effect should be pretty good. When she made the Bat-Lamp, she'd fully considered Gotham's frequently terrible weather. If its light couldn't penetrate