When Theresa May unexpectedly and rather suddenly replaced David Cameron as prime minister of the U.K., journalists scrambled to find out more about her personal life.

Ms. May has always been a very private person, but one little-known fact about the new leader has come to light: She is one of the many public figures who favor a small village on the river Thames just outside Reading and about one hour’s drive from central London.

When she’s not in her Westminster flat or at her new home at 10 Downing St., Ms. May and her husband, Philip, have a weekend retreat in Sonning, where their neighbors include Boris Johnson, the new foreign secretary who campaigned for Brexit, and Led Zeppelin guitarist Jimmy Page.

Another famous resident is Uri Geller, the eccentric Israeli-born illusionist, who has been lived in Sonning since the 1980s, but he is trying to sell his £15 million mansion ($19.8 million) —which was modeled on the White House— and move back to Tel Aviv. Even singer Taylor Swift and Brad Pitt and Angelina Jolie have reportedly considered buying another home in the area.

However, perhaps Ms. May’s most glamorous neighbors to date are George and Amal Clooney—the A-list actor and his lawyer wife bought a nine-bedroom mansion in Sonning around two years ago.

The home, known as Aberlash House, dates to the 17th century, sits on four acres of land and boasts a spa, swimming pool, tennis court, boathouse and a separate cottage. They had been renovating the estate at a rumored cost of £20 million ($26.4 million) and are thought to have moved into their new home in April.