- Arnaz's efforts to preserve her family's history led to her helping create a genealogy software package, to help others learn how to digitize important data and documents.
- In an interview on a San Francisco radio station, she stated that of all her mother's shows, she and her brother, Desi Arnaz Jr., only own the rights to Here's Lucy (1968).
- Her mother wanted to name her after her late cousin Suzan Ball, however her father wanted her to have her mother's name as a tribute to her. When Ball drifted off to sleep, Arnaz wrote the name "Lucie" on her birth certificate, choosing to spell her name differently to distinguish her from her mother.
- Daughter of Desi Arnaz and Lucille Ball.
- First choice for the role of Betty Rizzo in Grease (1978), she was allegedly dropped from consideration when her mother, Lucille Ball, called Paramount and said, "I used to own that studio; my daughter's not doing a screen test!" Ball actually owned the studio which was bought by Paramount, Desilu. The role went to Stockard Channing when the casting director remembered seeing her with Arnaz in the '50s-themed play "Vanities". On KGO Radio, in San Francisco (December 10, 2009), Ms. Arnaz denied this to be the case, saying that she was offered the role of Betty Rizzo in "Grease", but that a lack of solid confirmation, coupled with a conflicting contract, were the deciding factors in her not playing the role. She said that her mother had no participation, aside from counseling her that *she* had to decide between the two offers.
- Made her professional debut, at about age 12, on her mother's television series, The Lucy Show (1962). She plays a teenage employee in the ice cream shop in Lucy Is a Soda Jerk (1963).
- In an interview on a San Francisco radio station, she said that, growing up, she lived next door to Jack Benny in Beverly Hills.
- Remembered one day while driving that a taped television interview with her was about to air, and actually stopped at a randomly-picked house, asking the family inside if she could come in. Luckily, the family were fans of her parents, recognized her, and changed channels to let her watch the show.
- Turned down an offer to appear as Snow White and sing the ill-fated duet with Rob Lowe at the 61st Annual Academy Awards.
- She and husband Laurence Luckinbill resided in Katonah, New York, and maintained an office in nearby Ridgefield, Connecticut.
- Children, with husband Laurence Luckinbill, are sons Simon Luckinbill and Joe Luckinbill (who are two years apart) and daughter Katharine Luckinbill ("Kate", who is one year younger than Joe).
- Older sister of Desi Arnaz Jr..
- She and husband Laurence Luckinbill currently reside in Fairfield County's Weston, Connecticut. (October 2012)
- Credits her acting mentor and real-life mother, [Lucille Ball], as her favorite acting mentor/best friend.
- (August 10, 2003) The Ogunquit Playhouse in Southern Maine: Lucie dropped by for a walk down memory lane, sharing her award-winning documentary Lucy and Desi: A Home Movie (1993), revisiting the private lives of her very public parents.
- She was awarded the 1978 Los Angeles Drama Critics Circle Award for Distinguished Performance in a Musical for "A They're Playing Our Song" at the Ahmanson Theatre in Los Angeles, California.
- Sister-in-law of Amy Arnaz. Ex-sister-in-law of Linda Purl.
- Lucie weighed 3.345376 kilos or 7 lbs 6 oz at birth according to the birth announcement in the milestones column of Time magazine's July 30, 1951 issue.
- Niece of Fred Ball and Kenny Morgan.
- She never appeared on her parents' most famous TV show "I Love Lucy" despite being born the same year it first aired.
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