I googled Theodsia and found another book written about her " Theodosia Burr Alston: Portrait of a Prodigy" by Richard Cote. Apparently she is the daughter of Aaron Burr and Theodosia Bartow Prevost http://http://www.bookdoctor.com/corinthian/cote/theodosia.html
Theosdosia's father was a Bartow.
Through her mother she was a fifth generation member of the Stillwell family from Virginia, New York and New Jersey, as well as a fifth generation Sands from New England and Long Island, and a fifth generation Ray from New England. On her father's side she was a third generation Bartow from Westchester and New Jersey with some relation to Pells of Westchester and a third generation Reid from New Jersey and Westchester. The Stillwells, Sands and Rays had generally experienced upward mobility from farming into the mercantile and professional class, the Reids and the Pells were land rich and well-connected families, and the Bartows were a well-educated professional family.
I am not sure how all this is releated to me, but it looks really interesting.