Fulton Labs was a research facility in Gotham City.
Inque had been freed by Aaron Herbst after being her caretaker at Gotham Cryogenics. Due to being frozen solid for an extended period of time, Inque's DNA had been damaged and was in need of treatment. The duo broke into Fulton Labs for the components she required.
In the lab, Aaron wanted Inque to make him a shape shifter like her for his reward. Batman overheard the duo and tried to stop them but was subdued by the lab's giant crane. Aaron urged Inque to get rid of Batman but Inque wasn't satisfied until she had the "old one" too.