Warren-Peu was born on Pitcairn to Carol and Jay Warren, and is an eighth-generation descendant of the Bounty Mutineers that originally settled Pitcairn. Her mother was jointly one of the first women to sit on the Island Council, while her father was Magistrate of Pitcairn from 1991 to 1991 and mayor from 2005 to 2007. Warren-Peu runs the island post office, manages a homestay for visitors and produces honey with her husband Vaine Warren-Peu, a Cook Islander. The couple have five children.