Anjelica Huston on Jack Nicholson and her famous family

(CBS News) Actress Anjelica Huston is the author of a new two-part memoir. Over the course of more than 50 movies, Huston has played some pretty imposing characters, like her Oscar-nominated role as a con artist in "The Grifters" and the ghoulish Morticia in "The Addams Family."

The first book of the pair comes out Tuesday. It's called "A Story Lately Told: Coming of Age in Ireland, London and New York." Huston's book is published by Scribner, an imprint of Simon and Schuster, which is a division of CBS.

"CBS This Morning" co-host Gayle King said she went to the book and immediately looked for the Jack Nicholson section, but it wasn't there. The actress said she is saving that part of her life story for another time and she's not sure if she's surprised by people's fascination with their relationship.

"He's a fascinating man and people like to know details," she said. "Men love Jack almost as much as women love Jack."

Huston wouldn't say how long they "dated" saying it was a "funny word," but that they "lived together for 17 years."

The actress also talked about how the book allowed her to discuss her mother, who often took a backseat to her famous father.

"She was incredibly beautiful. She was an ex-ballerina," said Huston. "One of the pleasures of writing this book was talking about my mother, because my dad gets a lot of attention and my mother really deserved it. She was incredibly special, very beloved to me and I lost her early. So it's important to me to be able to talk about her."

Huston's career started with her grandfather, Walter Huston, who won an Oscar for "The Treasure of the Sierra Madre." It was directed by Huston's father, John Huston, who took home an Oscar, too.

On "Sunday Morning" Huston told CBS News' Lee Cowan that she did not feel that having her family name was a burden.

"I always liked being a Huston," she said on the show. "I always felt like it was my right, and it was my birthright and it was who I was."

She said on "CTM" that one of her "pet-peeves" is that her father is often described as "Hemmingway-esque," but she believes her father was "very much who he was."

"He wasn't like anyone else, really. He was an adventurer, very cultured, but at the same time he was a country man. He was raw. He had big appetites. He was a lion," she said.

However, she also said that her father was not perfect and he "hit her - only once, but it was impressive."

"He was a tough guy and I think in his eyes, I was acting provocatively because even though he was a very Renaissance man, he was a little old fashioned when it came to me," she said.

On "CTM" Huston explained that she thinks many actors get into the industry because they have very similar childhoods.

"I think a lot of actors and indeed a lot of artists spend alone time when they're little," she said. "Not necessarily unhappy, but time spent in contemplation and I grew up in the west of Ireland, which was quite a remote place and my best friend was the mirror ... I was accused of vanity, but I think children really look into the mirror to see who they are."