WFSB-TV reports that the victim has been identified as Jeffny Pally of West Hartford, Conn.
Officials say Pally was seated on the ground with her back against the door of the fire station bay shortly after 1 a.m. The student fell backward onto the ground when the door opened.
A Chevy Tahoe owned by the department then exited the bay to respond to a call, driving over Pally. The student's body was found around 2:50 a.m. when firefighters returned from the call.
The firefighter driving the vehicle has been placed on administrative duty.
Investigators do not know why Pally was outside the fire house or if anyone saw her before the vehicle returned.