Title to or right in property to be used for state park or state recreational purposes may be taken in the name of the “State of New Mexico” or in the name of the “Governor of the State of New Mexico and the people thereof”. But no such property or rights therein shall be acquired by the state for state park or state recreational purposes until the property or rights therein have been duly accepted by written agreement of the secretary or by act of the state legislature and an appropriate name has been designated for such park or state recreational area.