Idaho Code § 50-1320

The part so vacated, if it be a lot or tract, shall vest in the rightful owner, who may have the title thereof according to law; or if a public square or common, the property may vest in the proper county, or if in a city, the property shall vest in the council for the use of such city, and the proper authorities may sell the same, and make a title to the purchaser thereof, and appropriate the proceeds thereof for the benefit of said corporation or county, as the case may be; or if the same be a street, all right and title thereto shall be distributed in accordance with section 50-311[, Idaho Code].