If the director of transportation or board of county commissioners deems it necessary, at or near railroad crossings, to remove buildings or other obstructions near such crossings, they shall, by resolution, declare it necessary to appropriate such buildings or other obstructions and the ground upon which they are located, if deemed advisable, and cause notice of the passage of such resolution to be served upon owners of the property sought to be appropriated. If such owners are nonresidents, the director or board shall cause notice of such resolution to be given by one publication in some newspaper of general circulation in the county in which the property sought to be appropriated is located, and, if the address of such owners is known to the county auditor, he shall cause a copy of such notice to be mailed to them. Within ten days after service of the resolution or publication of notice, such owners shall file with the director or board their claims for compensation and damages. The director or board shall make allowances of compensation and damages to owners who have filed claims therefor, and, without the filing of such claims, shall make allowances of compensation and damages to such owners as are under disability. If such owners are not satisfied with the allowances made, they may appeal to the probate court as provided in sections 5563.01 to 5563.19 of the Revised Code.