Crosby Township is in Hamilton County. Its northern border is the Butler County line, shared with Ross and Morgan townships in Butler County. Its eastern border is the Great Miami River that separates it from Colerain Township. Other neighboring Hamilton County townships are Harrison to the west and Whitewater to the south. Communities within Crosby Township are Fernald, New Haven and New Baltimore, and previously (1824-1916) the Whitewater Shaker Village.
Henry A. Ford and Kate B. Ford in their History of Hamilton County, Ohio, (1881) says public lands west of the Great Miami River were first sold in April 1801. Crosby Township was formed in 1803. The Ford history says "Joab Comstock was probably the pioneer white in Crosby Township. He immigrated from the vicinity of New Haven, Connecticut, in 1801, made a large entry of land, embracing several sections, and made his home about one mile and a half east of the present village of New Haven (Preston post office), with his farm reaching the [west] bank of the Great Miami and the road to Venice in Butler County. . . . He laid out the village of Crosby soon after coming, giving it his mother's maiden name, the township subsequently formed also taking its name from it. This was the only village of much account in the whole valley when the township was set off." Ford said Crosby was about two miles south of the Butler County line, "below the famous bend" on the Great Miami. It was flooded in 1805 and "ultimately vacated," according to Ford. See entries for Fernald, New Haven, Morgantown and Union Village.