Their on-screen chemistry hadn’t come naturally, however. In one of the first scenes she filmed, she asked if anyone had a match. Bogart threw her a box of matches; she lit her cigarette and then threw the box back to him.

“My hand was shaking, my head was shaking, the cigarette was shaking, I was mortified,” she wrote in “By Myself.” “The harder I tried to stop, the more I shook. ... I realized that one way to hold my trembling head still was to keep it down, chin low, almost to my chest, and eyes up at Bogart. It worked and turned out to be the beginning of The Look.”

Ms. Bacall’s naturally low voice was further deepened in her early months in Hollywood. Hawks wanted her voice to remain low even during emotional scenes and suggested she find some quiet spot and read aloud. She drove to Mulholland Drive and began reading “The Robe,” making her voice lower and louder than usual.

“Who sat on mountaintops in cars reading books aloud to the canyons?” she later wrote. “I did.”

During her romance with Bogart, she asked him if it mattered to him that she was Jewish. His answer, she later wrote, was “Hell, no — what mattered to him was me, how I thought, how I felt, what kind of person I was, not my religion, he couldn’t care less — why did I even ask?”

An Impulsive Kiss

Ms. Bacall’s love affair with Bogart began with an impulsive kiss. While filming “To Have and Have Not,” he had stopped at her trailer to say good night when he suddenly leaned over, lifted her chin and kissed her. He was 25 years her senior and married at the time to Mayo Methot, his third wife, but to Ms. Bacall, “he was the man who meant everything in the world to me; I couldn’t believe my luck.”

As her fame grew in the ensuing months — she attracted wide publicity in February 1945 when she was photographed on top of a piano, legs draped over the side, with Vice President Harry S. Truman at the keyboard — so did the romance, particularly as she and Bogart filmed “The Big Sleep,” based on a Raymond Chandler whodunit.