The matter of laying out any private wagon road from the dwelling of any person to any public road and of condemning the lands necessary therefor shall be the same as hereinbefore provided, excepting that the viewers of the same shall only receive compensation for one day’s service, and mileage to and from their respective residence; and the petition in such cases need only be signed by such person, and the expense of viewing and surveying such road and the damages that may accrue, to any person by reason of laying out the same, and the expense of opening such road shall be paid by such petitioner.