Born in Boston, Massachusetts in 1796, Henderson was the daughter of William Bordman, a Boston merchant, who afterward changed his name to William Henderson Boardman; he married Eliza Henderson, the daughter of the High Sheriff.
After her husband's death in 1827, she went to Europe, residing there for several years to educate her children.
Upon her return to Boston, she became a leader in social circles and philanthropy. In 1840 she helped organize a fair, whose proceeds were used for the completion of the Bunker Hill Monument. She organized a ball and with its proceeds, she secured $10,000 towards purchasing Mt. Vernon. She was the first to celebrate George Washington's birthday regularly, and finally induced the legislature to make February 22 a legal holiday. During the American Civil War, she established the Bank of Faith and was interested in the relief of soldiers. She headed Boston's Evans House home and hospital, receiving a vote of thanks from the mayor and council.
She was the author of The Barclays of Boston, a novel (Boston, 1854); and contributed to the Boston Transcript under the signature of "One of the Barclays".