<p>An illustration of ballooning, from the <i>Journal des Dames et des Modes</i>, 1797-1798.
</p><p>The writing on the falling pieces of paper reads: "Rapport sur le premier voyage aërien du Citoyen Garnerin avec la Citoyenne Henri" (Andre-Jacques Garnerin was one of the most famous balloonists of the time).
</p><p>According to French Wikipedia, the original caption to this illustration was "Ascension en Montgolfière par le physicien Garnerin et la Citoyenne Henri".
</p><p>The lady is wearing a classic late 1790's "Grecian" <a href="https://en.wikipedia.org/wiki/1795-1820_in_fashion" class="extiw" title="en:1795-1820 in fashion">Directoire gown</a> -- which doesn't seem like very warm attire for a balloon journey!
</p><p>Note the variant version of the French tricolor.
</p>
For another early female balloonist, see <a href="//commons.wikimedia.org/wiki/File:Sophieblanchard-milan.jpg" class="mw-redirect" title="File:Sophieblanchard-milan.jpg">Image:Sophieblanchard-milan.jpg</a>
unknown <i>Journal des Dames et des Modes</i> artist
Year VI of the French revolutionary calendar (apparently 1798)
<i>Journal des Dames et des Modes</i>