In any county bordering on the Mississippi Sound and having therein at least four (4) municipal separate school districts, each member of the county board of education established by Section 37-5-1 for such county shall be elected from and shall be a resident and qualified elector in a special district determined in the following manner:

The board of education of such a county shall apportion the county into five (5) board of education districts in the territory outside the municipal separate school districts and these board of education districts shall be divided as nearly equal as possible according to population, incumbency and other factors heretofore pronounced by the courts. The board of education shall place upon its minutes the boundaries determined for the new five (5) board of education districts. The board of education of said county shall thereafter publish the same in some newspaper of general circulation within said county for at least three (3) consecutive weeks and after having given notice of publication and recording the same upon the minutes of the board of education of said county, said new district lines will thereafter be effective.

All incumbents now holding office within the district as presently constituted shall continue holding their respective offices provided they reside within the new district for the remainder of the term of office to which they have heretofore been elected and all members from the respective district shall be elected from the new board of education district constituted as herein provided in the same manner provided by law for the election of members of the county board of education. Any vacancies in the office, whether occasioned by redistricting or by other cause, shall be filled in the manner presently provided by law for the filling of vacancies.