If a board is called a Council, and those on it are now called Council Members rather than Councilmen and Councilwomen for the purpose of gender neutrality, please explain if there is a difference between the title of the position and the title by which they are addressed in conversation at meetings. Would it be appropriate to refer to them as Councillors? Are attorneys sometimes called Counsellors? Does this seem confusing if both are interacting at the same meeting?
"Council Members" is the word generally used to refer to all of them. In individual address, it is common to use the gender-specific form, i.e. Councilman or Councilwoman. As to Councillor, it is also used, but because of the homophone Counsellor, which is not the same thing, I think that Councillor is less used.
A councillor is a person who is a member of a council. A counselor is someone gives counsel, or advice. Of course, councillors can give counsel, even while on the council. And no doubt many counsellors are members of a council. A council of counselors.
And yes, an attorney is sometimes addressed or referred to as Counsellor.