1) The Minnesota memorial at tour stop 3 - On the front of the memorial is a bronze figure entitled “Peace”, based on Pax, the Roman goddess of peace. Pax is depicted here as a beautiful, radiant young woman holding a sword in her right hand and a shield in her left, symbolizing that both armies have placed their weapons in her keeping.
2) “The Spirit of Michigan” at tour stop 4 - The lower third of the monument is graced by an eight foot “symbolic figure of Michigan bringing laurels to her brave sons.” The figure “Spirit” was modeled after the Greek goddess Athena, the goddess of wisdom, civilization, warfare, strength, strategy, female arts, crafts, justice and skill, and of heroic endeavor.
3) The Illinois Memorial at tour stop 5 - The tympanum (tim’-pen-um) features three female figures, the muses of North, South and History. North, the figure on the left, is based upon Pax, the Roman goddess of peace, who has an olive branch in her right hand and across her lap with the shield of the Union cradled in her left arm. The figure on the right represents the South, and is based upon Flora, the Roman goddess of flowers and the season of spring. The agrarian Flora is pictured with her customary garland of flowers. The central figure is based upon Clio, the Greek and Roman goddess of history. As is customary, Clio is portrayed with a writing instrument as she records “the deeds of North and South reunited in Peace.”
4) The Missouri Memorial at tour stop 12 - Projecting outward from the stele on a sculpted plinth is the figure of a winged bronze woman representing the “Spirit of the Republic.” The “Spirit” figure, a beautiful young woman, is based on the Hellenistic Greek goddess of victory, Nike, who was closely associated with the Grecian goddess Athena.
5) The Mississippi Memorial at tour stop 14 - At the monument's front is a statue of Clio, Muse of History.
6) The Alabama Memorial on the south loop of Confederate Avenue - This lady is not based on ancient Greek or Roman figures, instead a woman in period Civil War dress. She represents Alabama to convey the point that both men and women defended their state.
Sources: https://visitvicksburg.com/women-of-the-vicksburg-national-military-park, https://www.nps.gov/vick/learn/historyculture/mississippi-memorial.htm, https://civilwartalk.com/threads/the-state-memorials-at-vicksburg.97846/#post-846666