Section 4. Probate courts shall have exclusive original jurisdiction of actions by married women relative to their separate estate, of actions relative to the care, custody, education and maintenance of minor children provided for by sections thirty and thirty-seven of chapter two hundred and nine, and of actions relative to paternity, support, and custody of minor children provided for in chapter two hundred and nine C and shall have jurisdiction concurrently with the district and Boston municipal court departments of actions relative to paternity or support as provided in chapter two hundred and nine C and actions for support as provided in section thirty-two F of chapter two hundred and nine and actions relative to paternity or support as provided in two hundred and nine D.