The library board shall have the exclusive control and management of all real estate and improvements which now are or may hereafter be acquired, set apart or dedicated to the use of the City of Austin for library purposes.
The board shall have authority to purchase or acquire by donation or otherwise, all such books, periodicals, manuscripts, and supplies for library purposes and in connection with the library as they may deem proper, and may appoint, remove, discharge or suspend the librarian, janitor and other employees or laborers necessary, determine the character of the books, manuscripts and periodicals in the library, also the amount of money expended during the then preceding year and the amount which will be required, in addition to the proper management of the library, and make such rules and regulations regarding the use of the library building or any part thereof, affixing penalties for the violation of any such regulations as they may deem proper.
It shall be the duty of the library board at all times to keep an accurate account of the cost of all buildings and improvements made upon the library property, and of all books, periodicals, manuscripts and supplies purchased in connection therewith, which accounts shall be open for the examination of the council or any member of said board, or to any citizen and taxpayer of the City of Austin at all times.