Lt. Hagan's Handkerchief was a small light blue handkerchief belonging to Lieutenant Hagen, and bares his 'H' monogram in rich blue with an orange outline. It is an item that can be clearly identified.
In the T2 mission "Framed", Garrett uses this as a personal item to frame Hagen for the theft of the evidence box from the Shoalsgate Station vault. It is found on his desk in his office on the second floor of the station.