question: When was Prince Frederick William Of Solms-Braunfels's wife born?
context: [["Amalia of Solms-Braunfels", ["Amalia of Solms- Braunfels( 31 August 1602, Braunfels \u2013 8 September 1675, The Hague), was Princess consort of Orange by marriage to Frederick Henry, Prince of Orange.", "She acted as the political adviser of her spouse during his reign, and acted as his de facto deputy and regent during his infirmity from 1640 \u2013 47.", "She also served as chair of the regency council during the minority of her grandson William III, Prince of Orange from 1650 until 1672.", "She was the daughter of count John Albert I of Solms- Braunfels and countess Agnes of Sayn- Wittgenstein."]], ["Ferdinand, Prince of Solms-Braunfels", ["Ferdinand Wilhelm Ernst, 2nd Prince of Solms- Braunfels( 8 February 1721 in Braunfels \u2013 2 October 1783, ibid.) was the second Prince of Solms- Braunfels.", "He was the son of Frederick William, Prince of Solms- Braunfels( 1696 \u2013 1761) by his first wife Princess Magdalena Henrietta of Nassau- Weilburg( 1691 \u2013 1725)."]], ["Alexander Frederick, Landgrave of Hesse", ["Alexander Frederick, Landgrave of Hesse( 25 January 1863, Copenhagen \u2013 26 March 1945) was a Hessian Prince.", "He was the son of Prince Frederick William of Hesse- Kassel and Princess Anna of Prussia.", "From 1888\u20131925 he was Head of the House of Hesse, but abdicated his position to his brother Prince Frederick Charles of Hesse.", "He was visually handicapped from birth, and this, in addition to his morganatic marriage, played a part in his decision to abdicate."]], ["Christine Charlotte of Solms-Braunfels", ["Christine Charlotte of Solms- Braunfels( 10 November 1690 in Greifenstein \u2013 16 October 1771 in Homburg) was a Countess of Solms- Braunfels by birth and by marriage Landgravine of Hesse- Homburg."]], ["Frederick William, Prince of Solms-Braunfels", ["Prince Frederick William of Solms- Braunfels( 11 January 1696 in Braunfels \u2013 24 February 1761, Braunfels) was the first Prince of Solms- Braunfels.", "He was the son of Count William Maurice of Solms- Braunfels( 1651 \u2013 1724) and his wife Magdalene Sophie of Hesse- Homburg( 1660 \u2013 1720), a daughter of William Christoph, Landgrave of Hesse- Homburg, and his first wife."]], ["William, Prince of Solms-Braunfels", ["Wilhelm Christian Karl, 3rd Prince of Solms Braunfels (9 January 1759, in Braunfels \u2013 20 March 1837, in Braunfels) was by succession an immediate Prince, then a nobleman and head of the Princely House of Solms-Braunfels, a Prussian major general and Hessian deputy."]], ["Prince Frederick William of Solms-Braunfels", ["Prince Frederick William of Solms-Braunfels (22 October 1770 in Braunfels \u2013 13 April 1814 in Slawentzitz) was a Prussian Major General.", "He was the fourth son of Ferdinand William Ernest, 2nd Prince of Solms-Braunfels (1721\u20131783) and Countess Sophie Christine Wilhelmine of Solms-Laubach (1741\u20131772).", "He became known mainly through his marriage to Princess Frederica of Mecklenburg-Strelitz.", "She was the widow of Prince Louis Charles of Prussia (1773\u20131796).", "When she became pregnant in 1798, he married her in order to avoid a scandal.", "The daughter died soon after birth.", "Frederick William was alleged to have been strongly inclined to consume alcohol and had to quit military service in 1805 for health reasons.", "He also lost his income and even his brother advised Frederica to divorce.", "She was initially against it, but when in 1813, she met Ernest Augustus, King of Hanover (1771\u20131851), she, too, wanted the divorce.", "Before they got around to it, however, Frederick William died, in 1814 in S\u0142awi\u0119cice."]], ["Frederica of Mecklenburg-Strelitz", ["Frederica of Mecklenburg-Strelitz (\"Friederike Louise Caroline Sophie Charlotte Alexandrine\") (3 March 1778 \u2013 29 June 1841) was a German princess who became, by marriage, princess of Prussia, princess of Solms-Braunfels, Duchess of Cumberland in Britain and Queen of Hanover (in Germany) as the consort of Ernest Augustus, King of Hanover (the fifth son and eighth child of King George III).", "She was born in the \"Altes Palais\" of Hanover as the fifth daughter of Charles II, Duke of Mecklenburg-Strelitz, and his first wife, Frederica, daughter of Prince George William of Hesse-Darmstadt.", "Her father assumed the title of Grand Duke of Mecklenburg on 18 June 1815.", "Duchess Frederica was the niece of her future mother-in-law, Queen Charlotte, through her father."]], ["Countess Amalie Henriette of Solms-Baruth", ["Countess Amalie Henriette Charlotte of Solms- Baruth( Kliczk\u00f3w, 30 January", "1768 \u2013 Karlsruhe, 31 October 1847) was a countess by birth of Solms- Baruth.", "She was the only child of John Christian II, Count of Solms- Baruth and his wife, Friederike Louise of Reuss- K\u00f6stritz."]], ["Johannetta of Sayn-Wittgenstein (1561\u20131622)", ["Johanetta of Sayn-Wittgenstein (15 February 1561 \u2013 13 April 1622) was a daughter of Count Louis I of Sayn-Wittgenstein and his first wife, Anna of Solms-Braunfels, who was a relative of Amalia of Solms-Braunfels."]]]
supporting_facts: [["Prince Frederick William of Solms-Braunfels", 2], ["Frederica of Mecklenburg-Strelitz", 0]]
evidences: [["Prince Frederick William of Solms-Braunfels", "spouse", "Frederica of Mecklenburg-Strelitz"], ["Frederica of Mecklenburg-Strelitz", "date of birth", "3 March 1778"]]
answer: 3 March 1778