In this video, pilot Juan Browne reviews what appears to have happened to this engine and what UAL's pilots went through during the emergency landing. It's comforting to those who fly regularly to hear an experienced pilot describe their safety procedures used for these events.
It will be interesting to see what caused the failure. In the Sioux City IA crash in 1989, it was a fan failure that took out the hydraulics in the rear of the plane. The root cause was determined to be a minute inclusion in the titanium casting that caused an interior crack that grew over time and the fan failure was catastrophic, not just a blade and a half.
Pictures from the ground showed white smoke trailing from the damaged engine as the plane went overhead, so that would seem to back up his guess that oil or hydraulic fluid was what continued to feed the fire.