Davenport is the daughter of Wink Davenport, who was a member of the U.S. volleyball team at the 1968 Summer Olympics in Mexico City, and Ann Davenport. She attended both Chadwick School in Palos Verdes Peninsula, California and Murrieta Valley High School in Murrieta, California. Davenport currently owns a home in the Irvine, California neighborhood of Shady Canyon and also in Laguna Beach, California.
Davenport took a break from competitive tennis in late 2006 and much of 2007 to have a baby. On June 10, 2007, she gave birth to a baby boy, Jagger Jonathan, in Newport Beach, California. She gave birth to a baby girl, Lauren Andrus, on June 27, 2009 in Newport Beach, California.