Swamped

"Something glowing. Didn't really see what it was, all I remember is it was purple. There was an overpowering stink of fish, too." Mortimer pauses. "I remember overhearing some talking, but all I remember is somebody mentioned my Pops. Was too focused on getting away, because I figured they'd be distracted. Saw the guildhouse in the distance, and I knew where they kept the spare key... so I made a run for it."

"Fish," Sunflower mutters. "And you don't remember more precisely where it was?"

"All I could think of was running."

From the sound of his story, he probably woke up just before he was going to be handed off to someone else. Likely near a fishmonger, or maybe a fishing boat. Of course, there's enough of those that it would be hard to narrow it down, even knowing that the guildhouse is in sight.

You make it back to the hospital soon after. You're a bit on edge, since you were half-expecting the kidnappers to strike. But nothing happens.

You arrive back at the emergency door, and pause.

"How much attention have you been paying to this door?" you ask Sunflower. "I think the kidnapper intended to return here, because they disabled the alarm without damaging it. And I'm not sure they haven't come back already."

"I've been watching it a lot of the time, but I've had other things competing for my attention," Sunflower admits. "I can tell someone is still out here, but what Mortimer just said suggests there's more than one kidnapper. So I can't be entirely certain one of them didn't slip back in."

"And possibly reset the alarm," you mutter. You can probably check with the help of the time magic, but you'd prefer another approach if you can think of one.