What is Lily's plan oce she gets Rosaleen out of the hospital?

Lily calls the hospital pretending to be the jailer’s wife with instructions that the officer guarding Rosaleen must go back to the station. Once the officer leaves the hospital, Rosaleen and Lily walk out. They begin thumbing for a ride. Eventually a black man selling melons picks them up and agrees to drop them three miles from Tiburon. Lily plans to travel to Tiburon in hope that she will find someone who knew her mother.