Lorenzo is a city in Crosby County, Texas, United States. As of the 2000 census, the city population was 1,372. The local economy is supported principally by agriculture, with cotton being the most important crop. Wheat, soybeans, milo, and various other crops are also produced in the Lorenzo area. Lorenzo apartments for rent comparison page shows most up to date rent information on Lorenzo apartments and houses. Rent information is obtained from multiple rental sources but we cannot guarantee their accuracy.