She corresponded, among others, with President Thomas Jefferson. Bingham traveled widely alongside her husband, including to Paris, which was said she particularly loved. Writing to Bingham from Paris in a letter dated February 7, 1787, Jefferson argued that "the tranquil pleasures of America preferable to the empty bustle of Paris." "In Paris you're consumed with ennui, with no object beyond the present moment," Jefferson wrote. "In America, on the other hand, the society of your husband, the fond cares for the children, the arrangements of the house, the improvements of the grounds, fill every moment with a healthy and an useful activity. Every exertion is encouraging, because to present amusement, it joins the promise of some future good." Bingham also argued that women in the U.S. should play an active role in politics, putting women who did so at the time in France as an example. In a 1787 letter back to Jefferson, she wrote, "The Women of France interfere in the politics of the Country, and often give a decided Turn to the Fate of Empires...hey have obtained that Rank of Consideration in society, which the Sex are intitled to... are therefore bound in Gratitude to admire and revere them, for asserting our Privileges." Bingham's letters reportedly led Jefferson to the construct of the United States Bill of Rights. Through many letters, she convinced Jefferson that the Constitution would not last and the individual citizens would have their rights impeded from the interests of the majority. Jefferson was finally convinced and in turn presented her ideas to James Madison and Madison agreed to the proposal. Madison then proposed the Individual Bill of Rights and Bingham's ideas were adopted by Congress.
Bingham was also the model for multiple portraits by painter Gilbert Stuart. It has been purported that Bingham was therefore the model for Lady Liberty on the American "Draped Bust" coinage during the first decade of the 19th century.
Maria Matilda Bingham, who, at the age of 15, was briefly married to a French aristocrat, Jacques Alexandre, Comte de Tilly. Afterwards she married her sister's brother-in-law, Henry Baring. They were the parents of five children. Maria and Henry were divorced in 1824; she married the Marquis de Blaisel in 1826.
William Bingham, who married Marie-Charlotte Chartier de Lotbiniere, Seigneuresse de Rigaud, in 1822. Marie-Charlotte was the second of the three daughters and heiresses of Michel-Eustache-Gaspard-Alain Chartier de Lotbinière, by his second wife Mary, daughter of Capt. John Munro. They lived in Montreal, Paris and London; and were the parents of six children. William Bingham settled in England and died in Kent in 1852.
A few weeks after having given birth to her last child, Bingham fell ill of "galloping consumption" and left for Madeira, but died en route in Bermuda, where she is buried in the Saint Peters Church Graveyard. Her husband continued to Europe and died of a stroke in England in 1804.