Osgood is a town in Center Township, Ripley County, in the U.S. state of Indiana. The population was 1,624 at the 2010 census. Osgood was platted in 1854 when the railroad was extended to that point. The town was named for A. L. Osgood, a railroad official. A post office called Osgood has been in operation since 1855. In the 1890s, Osgood wa…Osgood is a town in Center Township, Ripley County, in the U.S. state of Indiana. The population was 1,624 at the 2010 census. Osgood was platted in 1854 when the railroad was extended to that point. The town was named for A. L. Osgood, a railroad official. A post office called Osgood has been in operation since 1855. In the 1890s, Osgood was a sundown town, where African Americans were not allowed to reside. By then, Osgood was still much more closely connected to Cincinnati than Indianapolis in terms of trade.