How did the words of political thinkers such as Patrick Henery and Thomas Paine maintain the morale and resolve of American patriots?

Provided a mission for the revolution.

Both men used their pens to encourage revolutionary spirit and a drive toward liberty. They used writing to demonstrate the rights they have been stripped of and the rights they believed they deserved. Lines like "give me liberty or give me death" shows the willingness to die for the mission of revolution.