She attended public school in Chelmsford, Massachusetts, graduating from Chelmsford High School in 1992. She received her BM in Performance from Berklee College of Music in 1997.
On 3 October 1992, she married Timothy Weeks. They have one child, Tracy Spencer, who was born 30 September 1992. Veronica and Tim divorced in late 2000. In 2001, Veronica became romantically involved with her childhood friend Desiree Emerson. The two married on 17 May 2004, the day same-sex marriage became legal in the Commonwealth of Massachusetts.