Tennessee State Route 237 is a short east-west route along the Sulphur Fork Creek. TN St Rt 237 passes through the following town in Montgomery County. Clarksville TN St Rt 237 is not multi-plexed in Montgomery County. TN St Rt 237 intersects the following highways in Montgomery County. Tennessee State Route 374, at Clarksville. Interstate 24, at Clarksville. Tennessee State Route 238, near Sadlersville.