January 10 - Annette von Droste-Hülshoff, German writer (d. 1848)
January 22 - Maria Leopoldina of Austria, Empress of Brazil (d. 1826)
January 31 - Franz Schubert, Austrian composer (d. 1828)
March 27 - Alfred de Vigny, French author (d. 1863)
May 18 - Frederick Augustus II of Saxony, (d. 1854)
May 19 - Maria Isabel of Portugal, queen of Spain (d. 1818)
July 29 - Daniel Drew, American financier (d. 1879)
August 30 - Mary Wollstonecraft Shelley, English writer (d. 1851)
October 26 - Giuditta Pasta, Italian soprano (d. 1865)
November 29 - Gaetano Donizetti, Italian composer (d. 1848)
December 13 - Heinrich Heine, German poet (d. 1856)
Deaths
February 11 - Antoine Dauvergne, French composer (b. 1713)
May 25 - John Griffin Whitwell, 4th Baron Howard de Walden
June 17 - Agha Muhammad Khan, Shah of Persia (b. 1742)
July 11 - Ienãchiþã Vãcãrescu, Wallachian writer (b. 1740)
September 10 - Mary Wollstonecraft, English author (b. 1759)
October 9 - Vilna Gaon, Lithuanian rabbi (b. 1720)
November 16 - Frederick William II of Prussia, (b. 1744)
Events
January 7 - The modern Italian flag is first used.
February 14 - French Revolutionary Wars: Battle of Cape St. Vincent
February 18 - Trinidad is surrendered to a British fleet under the command of Sir Ralph Abercromby.
February 22 - Last Invasion of Britain: 1797 The Last Invasion of Britain by the French, begins near Fishguard, Wales.
February 25 - Colonel William Tate and his force of 1000-1500 soldiers surrender after the Last Invasion of Britain
February 26 - The Bank of England issues the first one-pound and two-pound notes.
March 4 - In the first ever peaceful transfer of power between elected leaders in modern times, John Adams is sworn in as President of the United States, succeeding George Washington.
April 17 - Sir Ralph Abercromby attacks San Juan, Puerto Rico in what would be one of the largest invasions to Spanish territories in America.