UAC State Notification Act of 2014 - Amends the William Wilberforce Trafficking Victims Protection Reauthorization Act of 2008, with respect to an unaccompanied alien child in federal custody by reason of the child's immigration status, to require the Secretary of Health and Human Services (HHS) or the Secretary of Homeland Security (DHS) to notify the governor of a state within 48 hours before the child's placement in the care of a proposed custodian located in that state.