The correct statement about Olympe de Gouges (1748-1793) is option 4: She declared that the nation is the union of woman and man. This means that she believed in the equal representation and inclusion of both women and men in the concept of the nation.

Option 1 is incorrect because Olympe de Gouges actually advocated for equal rights and believed that citizens should be entitled to the same honors by the State. Option 2 is also incorrect because she was not a supporter of the Jacobin government. Option 3 is incorrect as well because she was not jailed for treason by the National Assembly.

It is important to note that Olympe de Gouges was a prominent figure during the French Revolution and an advocate for women`s rights. She wrote the Declaration of the Rights of Woman and the Female Citizen in 1791, which called for gender equality and challenged the exclusion of women from full citizenship. However, she was eventually executed during the Reign of Terror for her political activism.