Death of a Gossip by M.C. Beaton

The very first Hamish Macbeth crime mystery, from internationally bestselling author M.C.Beaton
When society widow and gossip columnist Lady Jane Winters joins the local fishing class she wastes no time in ruffling the feathers - or should that be fins? - of those around her.
Among the victims of her sharp tongue is Lochdubh constable Hamish Macbeth, yet not even Hamish thinks someone would seriously want to silence Lady Jane's shrill voice permanently - until her strangled body is fished out of the river.
Now with the help of the lovely Priscilla Halburton-Smythe, Hamish must steer a course through the choppy waters of the tattler's life to find a murderer. But with a school of suspects who aren't willing to talk, and the dead woman telling no tales, Hamish may well be in over his head for he knows that secrets are dangerous, knowledge is power, and killers when cornered usually do strike again.
Praise for the Hamish Macbeth series:
'First rate ... deft social comedy and wonderfully realized atmosphere.' Booklist
'It's always a treat to return to Lochdubh.' New York Times
'Readers will enjoy the quirks and unique qualities of the cast ... Beaton catches the beauty of the area's natural geography and succinctly describes its distinct flavour.' Library Journal
'Befuddled, earnest and utterly endearing, Hamish makes his triumphs sweetly satisfying.' Publishers Weekly