The 19th century saw many hot air balloons. They were invented in the last quarter of the 19th century in France but they were becoming more common and ventured into America during the 19th century. HOwever, the first manned flight in America actually took place in 1793 and George Washington was in attendance.
In 1838 John Wise invented a ripping panel which solved the problem of the balloon being dragged along the ground once landed. This panel is still in use today.
Thaddeus Lowe a professor from New Jersey built his second balloon, Enterprise in 1858. It was in this balloon that the first telegraph message was sent in 1861.
Around the World in 80 days was written by Jules Verne in 1873 then into English in 1875.
Wikipedia 19th century Aviation has a great list of events in aviation during the 19th century.