Short answers, pulled from the story.
Longwood is a settlement and district on Saint Helena, a British island in the South Atlantic Ocean. It sits about 500 metres above sea level, making it one of the island's highest settlements and giving it a cooler climate than the coastal town of Jamestown.
Halley visited Saint Helena in 1676 after leaving the University of Oxford, aiming to observe and catalogue stars visible only from the Southern Hemisphere. He set up an observatory in the Longwood district with a 24-foot aerial telescope and the resulting catalogue, Catalogus Stellarum Australium, published in 1679, documented 341 southern stars.
Halley's Mount is a 2,230-foot hill in the Longwood district of Saint Helena, named after Edmond Halley. It stands near the site where Halley erected his telescope and observatory in the 1670s to study the southern sky.
Napoleon Bonaparte lived in Longwood House, Saint Helena, from 1815 until his death on the 5th of May 1821. It was his residence during his second exile and where he spent most of his final years.
The French Government, through the Ministry for Europe and Foreign Affairs, owns Longwood House, Briars Pavilion, and Napoleon's original grave. The United Kingdom retains sovereignty over these properties.
Longwood had a population of 765 in 2021, down from 960 recorded in 1998, a decrease of 195 residents. The district covers an area of 33.4 square kilometres.