In "Agatha Heterodyne and the Electric Coffin", Luilla is one of a gang of abandoned constructs going from village to village, carrying out frauds. They would then evade pursuit through the apparent death, and subsequent surreptitious revival, of the member of the gang carrying out their fraud in any given village. Despite their general success at running the con, she and her comrades Torsti Lechwa, Zon and Garon, were starting to show strong signs of lack of proper maintenance.
Luilla is the one who explains to Agatha Heterodyne what their situation and motivation is to play the con; she and Garon are willing to accept help quickly, and argue with Zon about it until he goes berserk. She shows up looking much more cheerful at the end of the story with Agatha's promise having been kept.