Coxe wrote several books, including The Young Lady's Companion and Claims of the Country on American Females.
[3] Rachel was the daughter and only heir to her father, Richard Smith's estate.
[5] In 1851, Coxe and Zachos where both owners and principals at the Cooper Female Institute in Dayton, Ohio.
[5] She has written The Young Lady's Companion, Wonders of the Deep, and Botany of the Scriptures.
[6] In 1845, her book Floral Emblems; or, Moral Sketches from Flowers was published.