Named after the Italian design company, Alessi Laurent-Marke grew up in Hammersmith, London where her father, Alan Marke, is a television producer who has worked on TV shows such as Modern Toss, Snuff Box and Shooting Stars and is also the managing director of TV production company Channel X.
She first got into music when her mother gave her a copy of Graham Nash's 1971 album Songs for Beginners and began playing at age 11 when her secondary school required students to take up an instrument, and, inspired by Meg White after seeing a White Stripes concert at Alexandra Palace, she decided on the drums. Her drum teacher played locally in different bands and through this she began going to see various bands live with her dad, sometimes going to as many as four shows a week. This led to her starting her own fanzine called Brain Bulletin (which now continues in the form of a blog) in which she wrote about her favourite bands, books and films. Inspired by a family friend in New York, who wrote a fanzine called The Curse, she distributed it at concerts, through a local record shop and at a launderette on Shepherd's Bush Road.
As part of the coursework for her music GCSE she had to compose the music and lyrics for a song. Through the basic chords she had learnt fooling around on her sister's guitar and "the combination of the poetry and the stories that I had been writing for my fanzine" she composed the song Glendora (which eventually ended up on her debut album), which her music teacher encouraged her to sing at the school assembly. Discovering a new passion for writing and performing, she decided to leave school to pursue music at age 16. Although supported by her parents, she promised them that she would return to school after one year if nothing came of it. During this time she quickly gained a following with her demos posted on her MySpace and self-released an EP called Bedroom Bound that she sold through her page (on her independent label Zooey). To avoid confusion with the music act the Alessi Brothers, her mother suggested calling herself Alessi's Ark: "I liked the idea of a boat, where everybody is welcome, even friends that are geographically far away – we are together.” Booking as many shows as she could and playing "anywhere", representatives from record labels Heavenly Records and EMI soon saw her performing and offered her a deal. On the eve of her 17th birthday she signed to Virgin Records, a division of EMI.
Asked who her dream producer would be for her major label debut, Laurent-Marke said Mike Mogis, producer of Rilo Kiley and member of Bright Eyes. She met up with him in London after a Bright Eyes show at the Shepherd's Bush Empire in early 2008: "I gave him some fanzines and some demos and I liked him straight away. I mean, I was very nervous but he’s a very special man and very like minded so I felt quite at ease."  Mogis agreed to work with her that September and she travelled to Nebraska to record the album at Mogis' and Conor Oberst's studio in Omaha.
The resulting album, Notes From The Treehouse, was released in May 2009, featuring full band versions of some of the songs from her Bedroom Bound EP, as well as newer compositions such as The Dog and Hummingbird. The album also featured many musicians that inspired her to begin making music including Jake Bellows of Neva Dinova and Nate Walcott from Bright Eyes.
Following the release of the album, Alessi's Ark continued to play live around the UK and also played support to a diverse range of artists such as Laura Marling, Mariee Sioux, Emilíana Torrini and Cerys Matthews, as well as playing the Bandstand stage at Neil Young's Hyde Park show in London in June. Riverside Studios in Hammersmith also played host to an exhibition of her drawings inspired by her songs, called Handmade, which ran from August 20 to September 27, 2009.
Alessi is a supporter of the Anthony Nolan Trust and played a charity show at the Union Chapel on 28 January 2010 with Treetop Flyers and Draw Me Stories.
In February 2010 Alessi's Ark left Virgin and signed with independent label Bella Union. Her first release on Bella Union is an EP called Soul Proprietor which was released on April 5.