From Halopedia, the Halo wiki
At some point after January 7, 2530, Lulu had the night shift in the medical bay of the Spirit of Fire, where she played holo-sudoko, and had "girly" discussions with the ship's AI Serina. Following the Battle of Trove, Captain Cutter assured her that the ship's crew would return home and that she would see her fiancé again.
In a non-canonical series of Halo Wars ancillary fiction written by the game's lead writer Graeme Devine, Hershey's fiancé is identified as David, whose marriage proposal she initially rejected.
Her medical supervisor was Kay. She was assigned to him before she joined the crew of the Spirit of Fire. She had served in the Chelsea Trauma Center for two years and in an AirCare Ambulance for another year.
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