Josephine Tey 
A Shilling for Candles [EPUB ebook] 

A woman’s body lay limp on the beach. And while the waves lapped gently at her scarlet-tipped toes, twisted in her hair was an article which screamed murder. For Inspector Alan Grant, the case would become a nightmare of too many clues and too many motives. For the woman was the famous screen actress, Christine Clay. And the world was full of people who wanted her dead.