The Indianapolis museum says the photos will be used in a mural for an exhibit.
Abraham Lincoln's 'rail-splitter' is on display at the Indiana State Museum.
The theater is the only one in the entire state that will show the movie in 70-millimeter film.
Bill Foley left Indiana in the 1970s and spent the next two decades largely in the Middle East taking pictures for TIME Magazine and the Associated Press.
The portrait shows the governor standing in his office, without a suit coat, leaning against a chair and holding a pen in his hand.
The Friends of Ernie Pyle now run the museum, though many of its artifacts have been transferred to the Indiana State Museum.