451 County Road 4975 If you are seeking peace and quite at the end of a county road, this is the place for you. Come create your private homestead, pursue your agricultural interests, or develop a rural hunting retreat here! In the northwest corner of this property lies where the first oil well was drilled in Desdemona, the Joe Duke, that lead to the creation of the oil boom in this small community in 1918. This property offers 3 tanks providing ample water for livestock, 2 water wells, a mobile home and plenty of wildlife for the hunting advocate.