This part shall become effective in Madison County only upon a writing subscribed to by the judge of probate, the tax assessor, and the tax collector requesting to come under this part and upon the adoption of a resolution by a majority vote of the board of revenue, court of county commissioners, or other like governing body of the county, wherein the county elects to come under this part. The resolution, together with the proceedings had in connection with the passage thereof, shall be entered in the minute book of the county governing body and copies of the resolution, duly certified to by the chair or presiding officer of the county governing body, shall be forthwith forwarded by the chair or presiding officer of the county governing body to the State Department of Revenue, the State Department of Finance, the Comptroller, and to the judge of probate, tax assessor, and tax collector of the county, and copy of the resolution shall also forthwith be published in a newspaper published in the county once a week for four consecutive weeks. Should the county governing body desire to withdraw from the provisions thereof, it may do so by resolution to this effect unanimously adopted by the county governing body. The resolution shall be entered upon the minutes of the governing body of the county and copies thereof, duly certified to by the chair or presiding officer of the county governing body, forthwith be forwarded to the State Department of Revenue, the State Department of Finance, the Comptroller, and the judge of probate, tax collector, and tax assessor of the county. Notice of the action of the county governing body in withdrawing from this part shall also be given forthwith by publication of the resolution in a newspaper published in the county once a week for four consecutive weeks. Provided, however, the action of the governing body to withdraw from this part shall be void unless the tax assessor, tax collector, and the judge of probate have first received notice in writing from the county governing body of the anticipated effective date of withdrawal, which date shall be not sooner than one year from the 1st day of October next to come.