The term of one member of each local assistance board shall be for one year and such member only may be appointed from among the membership of the governing body of the municipality and the terms of the other members thereof shall be as follows:
The term of each member of a local assistance board shall begin on the first day of January, and each member shall continue in office until his successor shall be appointed and shall qualify.
Vacancies shall be filled for the unexpired terms only.
N.J.S. § 44:8-116