- Was Maid of Honor at her Firefly/Serenity co-star Jewel Staite's wedding in Maui in 2003.
- (June 2, 2017) Married her boyfriend of 2 years Ben McKenzie at the Brooklyn Botanical Gardens in Brooklyn, New York on her 38th birthday. They have a 15-month-old daughter Frances together.
- Her father is of half Italian (from Veneto and Marche) and half Lebanese descent. Her mother is of half Italian (from Basilicata) and half Portuguese/Brazilian ancestry.
- Speaks Portuguese.
- Her first name - Morena - means "brunette" in her native Portuguese.
- She attended PS 41 and the New York City Lab School for Collaborative Studies, where she and Claire Danes were classmates. She later attended the Fiorello H. LaGuardia High School of Music & Art and Performing Arts where after graduating, she entered the theater program at the Julliard School for the Performing Arts. While at Julliard, she was one of the subjects of the PBS series American Masters which focused on the school and the students.
- Her mother, Vera Setta, played a character named "Morena" in the movie O Vampiro de Copacabana (1976) in 1976, three years before her daughter "Morena" was born.
- She appeared in a pilot video for the show that became It's Always Sunny in Philadelphia (2005) with the 3 show-runners and leading cast members when they were all young, struggling actors in Los Angeles. Her scene consisted of her playing a very attractive, pre-operation transsexual who is propositioned by Rob McElhenney's character. That plot and character, as played by Brittany Daniel, was later re-used in the FX series.
- Has 3 children - a son Julius Chick (b. October 22, 2013) with her ex-husband Austin Chick and a daughter Frances Laiz Setta Schenkkan (b. March 2, 2016) and Arthur (b. March 9, 2021) with her husband Ben McKenzie. "Setta" and "Schenkkan" come from Baccarin and McKenzie's original surnames, respectively.
- One of four actors from Firefly (2002) who voiced superheroes on Justice League (2001). She voiced "Black Canary" while Adam Baldwin voiced "Hal Jordan, the Silver Age Green Lantern", Nathan Fillion voiced "The Vigilante" and Gina Torres voiced "Vixen".
- Raised in New York City
- Was nine months pregnant with her son Julius when she completed filming the third season of Homeland (2011).
- Gave birth to her 1st child at age 34, a son named Julius Chick on October 22, 2013. Child's father is her first husband, Austin Chick.
- Her husband of 3 years Austin Chick filed for divorce from her. (June 2015)
- Her actress mother was first to introduce the theatrical show "Os Monólogos da Vagina" (The Vagina Monologues) to Brazil.
- Daughter of Vera Setta and journalist Fernando Baccarin.
- Returned to work five months after giving birth to her son Julius to begin filming Spy (2015).
- Niece of Ivan Setta.
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