If any person registered or required to be registered as a lobbyist, or any employer of any person registered or required to be registered as a lobbyist, employs a member or an employee of the legislature, a member of a state board or commission, or a full-time state employee, and that new employee remains in the partial employ of the state, the new employer must file within fifteen days after employment a statement with the commission, signed under oath, setting out the nature of the employment, the name of the person employed, and the amount of pay or consideration.