Murder on the Beach — Marina Oliver

Dodie Fanshaw, escaping from London in January to stay with old Hollywood friends in Barbados, soon becomes involved with the local English and American ex-pat community.

Enjoying the weather, the friendships, and learning to sail, she doesn't expect murder.

But tensions are high, old quarrels are renewed, and several have motives but no one has an alibi.

Dodie sets out to solve the mystery in the 9th book in the Dodie Fanshaw mystery series.