In 1896, the year after Ross Hill and Baxter were awarded their doctorates from Cornell, they married on 20 August and moved to Lincoln, Nebraska where Ross Hill became a proessor at the University of Nebraska. Baxter decided to give up her promising mathematics career in order to support her husband's academic career.
Sa 1896, ang taon matapos Ross Hill at Baxter ay iginawad sa kanilang mga doctorates mula sa Cornell, sila ay may-asawa sa August 20 at inilipat sa Lincoln, Nebraska Ross Hill kung saan ay naging isang proessor sa Unibersidad ng Nebraska. Baxter nagpasya na magbigay ng up-asa ang kanyang karera sa matematika upang suportahan ang kanyang asawa ng academic karera.