The inhabitants of said Village may alter the bounds of said Village with the written consent of the persons owning real estate which will be included or excluded thereby, such written consent and alteration being first recorded in the office of the Town Clerk of the Town of Lyndon, and with the approval of the Town of Lyndon as evidenced by the majority vote of said Town in Town meeting duly warned therefor. If the Town of Lyndon votes such approval said consent, alteration, and the vote of the Town of Lyndon shall be recorded in the office of the Clerk of said Village, and upon such recording, the alterations in the bounds of said Village so made shall become effective.