The holographic wife of Fair Haven publican Michael Sullivan, removed from the programme by Captain Janeway when she rewrites Michael to suit her own tastes in the episode Fair Haven.
Frannie Sullivan is a character in the Fair Haven holodeck programme and appears briefly in the episode of the same name. As Tom Paris first wrote the village, the landlord Michael Sullivan is a married man, and Frannie is the wife who keeps a watchful eye on him.
Janeway, charmed by Michael, discovers her existence just as the two are getting on well. She later goes to the holodeck controls and alters his character, making him taller, better read and more curious about the world.
The last of her changes is an instruction to the computer to delete the wife. The ease with which she can do so is part of what later troubles her about loving a hologram.