The YT-1300 light freighter Century Hawk was the personal ship of Danielle Kieran. She bought the ship by taking a loan from Talon Karrde, wanting to fly the same ship as her supposed father Han Solo. Kieran was determined to tinker the ship into some kind of reasonable shape; "reasonable" meaning as close to the Millennium Falcon as was possible. As of 4 ABY she was flying the ship out of Crystal Web Station, hoping to prove herself to Solo.
Sources
"The Luminous Bantha: Adventures for the Star Wars: New Republic Campaign" — Polyhedron 94 (First mentioned) (Unlicensed)