Brownington is a town in Henry County, Missouri, United States. The population was 107 at the 2010 census. The town of Brownington wa…Brownington is a town in Henry County, Missouri, United States. The population was 107 at the 2010 census. The town of Brownington was first located in the year 1869, and joined that of Consville and was laid out by William N. Doyle. Consville, however, was founded in 1867, but the two communities have since merged.