updated 04/01/2014 AT 3:00 PM ET
•originally published 04/01/2014 AT 6:00 PM ET
The teeny-tiny island of Windermere was home to a very big pair of superstars last week.
Joined by their kids, Apple, 9½, and Moses, who turns 8 next week, the couple spent a week at a private home on Windermere, an exclusive paradise just off the main island of Eleuthera.
Paltrow, 41, and Martin, 37, kept a low profile during their breakup moon but did venture out a few times, including dinner at local favorite Tippy’s on March 28.
The family departed the island yesterday morning, with Martin primed to begin promoting Coldplay’s new album, Ghost Stories. The singer was just announced as a presenter at the Rock and Roll Hall of Fame on April 10, where he is set to induct fellow English singer-songwriter Peter Gabriel.
Reporting by SIOBHAN MORRISSEY