The Australian Prime Minister is played by Julian McMahon, who is actually the son of 20th Prime Minister of Australia Sir William McMahon.
Theodore Roosevelt did indeed publish a book called "The Summer Birds of the Adirondacks." It was published in 1877.
This episode is named for the short story by American writer Edgar Allan Poe, first published in 1839. It has been adapted multiple times for stage and screen. The title card art features a portrait of Poe.
The episode's name has several meanings. Like all episodes in the series, it is named after a classic murder mystery story. However, in the story, "Usher" is the name of the family; in this case the word can also be understood as the position: an usher in the White House. The "House of Usher" would be the White House. The fall is the murder, and the chaos in the White House.
The National Park Service's Investigative Services Branch (ISB) is responsible for investigating crimes, including homicides, within national parks. The White House and President's Park are part of the National Park System and managed by the National Park Service.