The Tensaw River is a river in Baldwin County, Alabama. The name "Tensaw" is derived from the historic indigenous Taensa people. It is a distributary of the Mobile River, about 41 miles long. It is formed as a bayou of the Mobile roughly 6 mi south of the formation of the Mobile by the confluence of the Tombigbee and Alabama rivers, at 31°04′05″N …The Tensaw River is a river in Baldwin County, Alabama. The name "Tensaw" is derived from the historic indigenous Taensa people. It is a distributary of the Mobile River, about 41 miles long. It is formed as a bayou of the Mobile roughly 6 mi south of the formation of the Mobile by the confluence of the Tombigbee and Alabama rivers, at 31°04′05″N 87°57′47″W / 31.06795°N 87.96306°W.