
A dramatic account of the ill-fated 19th-century naval expedition to the North Pole cites the contributions of German cartographer August Peterman, New York Herald owner James Gordon Bennett and famed naval officer George Washington De Long in the team's efforts to survive brutal environmental conditions.
It takes in the 1880s, when the general population believed that the North Pole was an open polar sea. The book tells the story of the USS Jeannette, which tries to sail up there.
Also, The Man Who Ate His Boots which covers some of Franklin's earlier overland exploration. https://www.amazon.com/Man-Who-Ate-His-Boots/dp/0307276562
https://en.wikipedia.org/wiki/In_the_Kingdom_of_Ice
I just finished and recommend Anthony Brandt's "The Man Who Ate His Boots" which is good summary of Northwest Passage expeditions up to Franklin and the subsequent searches for Franklin.