Girls Count Act of 2014 - Authorizes the Secretary of State and the Administrator of the U.S. Agency for International Development (USAID) to: (1) support programs that will contribute to improved civil registration and vital statistics systems with a focus on birth registration; and (2) promote programs that build the capacity of developing countries' national and local legal and policy frameworks to prevent discrimination against girls, and help increase property rights, social security, land tenure, and inheritance rights for women.