SR 136 then bridges the Caney Fork River and enters White County before turning northeast through the community of Walling.
[1] After several miles it junctions with US 70 west of Sparta, and SR 135 at Bakers Crossroads, near the Putnam County line.
Near Cookeville High School at the northern edge of the city, the road narrows for a final time to two lanes.
[1] At the community of Hilham, the road intersects SR 85 at a crossroads designed in the late 18th century to align with the four cardinal directions.
In the park, the road descends sharply to Standing Stone Lake, narrows to one lane as it crosses Standing Stone Dam, and widens again to two lanes as it reascends to the ridgeline and passes the park's cabins and headquarters.