Baker is a daughter of Dallin H. Oaks, a former Brigham Young University president and Utah Supreme Court justice, who is now the second-ranking leader in The Church of Jesus Christ of Latter-day Saints (LDS Church), and June Oaks ("" Dixon). She is a member of the LDS Church and an alumna of East High School (1993). She earned a Bachelor of Music degree in violin performance from Curtis Institute of Music (Philadelphia, 1997) and a Master of Music degree from Juilliard School (New York City, 1999).