No action shall be brought upon the official recognizance of any sheriff, or upon any administration bond, or upon any testamentary bond, against either the principal or sureties, after the expiration of 6 years from the date of such recognizance or bond. The bond of any executor or administrator cum testamento annexo, who, during his or her life, is entitled under the will of any deceased testator to the personal estate of such deceased testator, shall continue in force for the period of 3 years after the death of such executor or administrator.