While at the Academy, Tom Paris liked her, finding her intelligent and beautiful. Unfortunately for him, she was absolutely uninterested in him, so Paris referred to her as "the lost cause". In 2376,
Paris named the shuttleAlice after her. (VOY: "Alice")
The image that the ship used may have been of Alice Battisti. However, the ship acquired its voice from a modulation of Paris's voice and may have done the same with its image. Furthermore, the same actress played the ship when it presented itself as a member of Abaddon's species.