Enter the library and neutralize the ghost found here with your axe.

Find these three crosses. Take one at a time...

...to get these three death chalices on floor 1.

Be aware that a Super Officer on floor 2 now may have been alarmed.

Return here again and open the book shelf. Kill the guard within. Get the brass key, missiles and health.

Go down to floor 1 again.

Find four gold chalices (full health quota) in this room when you need it.

Open this locked (silver) door to the ballroom. Fight the guards and the ghosts within. Switch quickly between the revolver and the axe. Find more health in the room when the battle is over.

Continue.