A Shilling for Candles — Josephine Tey

Was there anyone who didn't want lovely screen actress Christine Clay dead?

Beneath the sea cliffs of the south coast, suicides are a sad but common fact of life. Yet even the hardened coastguard knows something is wrong when a beautiful film actress is found lying dead on the beach one bright summer's morning. Inspector Grant has to take a more professional attitude: death by suicide, however common, has to have a motive -- just like murder…