The following persons are ineligible to serve on a city board or commission:
   (A)   Anyone convicted of treason or a felon whose rights have not been restored;
   (B)   Anyone under guardianship;
   (C)   Anyone who is found by a court of law to be legally incompetent; and
   (D)   Full-time city employees; or part-time employees where there is an incompatibility of office.
(1976 Code, § 15-1-4)