In my experience, there is no provision for a member's words to be recorded in the minutes. There is provision for details of votes to be recorded and this is covered in the model standing orders, as follows:-
Unless standing orders provide otherwise, voting on a question shall be by a show of hands. At the request of a councillor, the voting on any question shall be recorded so as to show whether each councillor present and voting gave his vote for or against that question. Such a request shall be made before moving on to the next item of business on the agenda.
The wording of a motion on which a vote takes place will, of course, be included in the minutes. Such wording must be agreed between the contributor and the Clerk prior to the publishing of the agenda for the meeting, but can be amended during the meeting.