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Fultonham is a village in Muskingum County, Ohio, United States. The population was 176 at the 2010 census. It was named for postmaster Robert Fulton.
Fultonham was originally called Uniontown, and under the latter name was platted in 1815. A post office called Uniontown was established in 1818, and the name was changed to Fultonham in 1828.
Fultonham is located at 39°51′19″N 82°8′30″W (39.855355, -82.141785).
According to the United States Census Bureau, the village has a total area of 0.16 square miles (0.41 km2), all land.
As of the census of 2010, there were 176 people, 61 households, and 46 families living in the village. The population density was 1,100.0 inhabitants per square mile (424.7/km2). There were 69 housing units at an average density of 431.3 per square mile (166.5/km2). The racial makeup of the village was 100.0% White.
There were 61 households, of which 41.0% had children under the age of 18 living with them, 42.6% were married couples living together, 26.2% had a female householder with no husband present, 6.6% had a male householder with no wife present, and 24.6% were non-families. 19.7% of all households were made up of individuals, and 6.6% had someone living alone who was 65 years of age or older.