I'm going to get
Trigger Mortis, not least for its title, and because it is one of the "Johnny Liddell, New York PI" series which in its day was very successful.
This was posted by Frank Kane's grand-daughter at
Thrilling Detective:
"TRIGGER MORTIS, by Frank Kane (251 pp.; Rinehart; $2.95), starts shooting up the seamier side of Manhattan long before anyone thinks of calling the cops. Johnny Liddell, one of the hardest private eyes in town, takes on ex-pugs, Harlem hopheads, dance-hall dolls, a poverty-row pressagent and the alcoholic editorial staff of a scandal magazine in a two-fisted attempt to keep a client from being reminded of her days as a dancer at stag smokers. It proves only that when a girl gets into trouble there is always a good man around to get her out, provided she has copper-colored hair and the kind of construction that puts a lovelight in a private eye."
-- the complete review from the Apr. 28, 1958 issue of Time Magazine