Baker (née Oaks) began playing the violin at age four, and made her solo orchestral debut in 1983 at the age of eight.
Baker's music has been featured on the soundtracks of many films, including Helen Whitney's 2007 PBS documentary miniseries, The Mormons, T. C. Christensen's 2011 film, 17 Miracles and 2015 film The Cokeville Miracle, and Mitch Davis' 2015 film, Stuck which also features her acting debut as the violinist character, Mandy.