No person fifteen (15) years old or older shall catch or take any fish in any freshwater stream or freshwater pond within this state, or place or operate or superintend any device for the purpose of taking or catching fish in any of those waters, without having first obtained a license; provided, however, that a license shall not be required of any resident of this state, or the members of the resident’s immediate family, to fish in any brook or pond running through or bordering upon land owned or leased by the resident and on which the resident is actually domiciled, nor those individuals exempted under § 20-2-31.