Anna-Marie Alloway has been playing cello since she was three years old. Originally taught by her mother and esteemed cellist Sally-Anne Brown, a graduate of Mozarteum Salzburg, Austria, Anna-Marie found a great passion for music. In 2013 she completed her Bachelor of Music in Performance Cello and her Postgraduate Diploma in Performance Cello under the tutelage of Rolf Gjelsten, of the New Zealand String Quartet.

In 2010–2013 she was a member of the cello section of the NZSO National Youth Orchestra. In 2014 Anna-Marie won the spot as principal cellist for NZSO-NYO's summer residency course held in Waikanae. She has also participated in the Adam Foundation Nelson Summer School, the Bay of Plenty Concerto Competition and has participated in masterclasses with esteemed cellists Lynn Harrell and Raphael Wallfisch. In 2014 she attended the Kronberg Academy in Germany.

Anna-Marie has undertaken Suzuki Teacher Training in New Zealand and Suzuki Pedagogy Training in Lucerne, Switzerland. In 2016 she participated in the Adam Chamber Music Festival in Nelson as the cellist in the Troubadour Quartet. Anna-Marie featured in several concerts during the festival: Cellisimo, Bach by Candlelight and the Grand Finale Concert, where she performed Dvorak's Serenade for Strings with the New Zealand String Quartet and the Goldner Quartet. In 2017 her quartet The Troubadours toured New Zealand on an Encompass tour with Chamber Music New Zealand.

Since 2020 Anna-Marie has been an active member in the events industry, organising musicians to perform across New Zealand in collaboration with touring artists. Recently she performed alongside Ms. Lauryn Hill on her New Zealand leg of her Miseducation tour in 2023. Alongside her performing, Anna-Marie has flourishing studios in the Auckland and Waikato regions, encouraging and inspiring New Zealand's next generation of aspiring musicians.