From the record
“The First Oil Well in Oklahoma was drilled in 1885 in Atoka County, Choctaw Nation, Indian Territory, though it was not completed until 1888.”
Wikipedia article First Oil Well in Oklahoma, CC BY-SA 4.0.
One of 17 National Register listings published here for Atoka County · listed in 1972 · category: Site.
Sources: the Wikipedia article · the case file at the National Archives · the National Register database, National Park Service