The Hobbs live in Bloomington, Minnesota. After Hobbs slits Abigail’s throat, she is taken away by ambulance, not a rescue helicopter, which means that we can conclude that she was taken to a hospital there, in Bloomington.
However, in the second episode, Jack asks Will how many nights Will spent at Abigail’s bedside and we see this:
I tried to compare the hospital room from episode one and two and in my opinion they are one and the same room (production costs, I understand).
I’m guessing the FBI had her transferred to a hospital closer to Quantico, but from what I found, there’s also a hospital in Quantico, so why Baltimore? And how often both Will and Hannibal went there?
I find this whole thing with hospitals in these episodes kinda funny.