After some follow-up, Sussex County GIS database shows that 206 is also named Hampton House Rd. all the way between Ross' Corner, North to almost Main St. in Branchville (at the municipal border between Frankford and Branchville). My vote here is to leave it unchanged.

https://data-1-sussex.opendata.arcgis.com/datasets/475ca8d76fdb4e9ab3bd428aceec51bc_0/explore?location=41.147554%2C-74.759777%2C17.99

See the SussexCountyRoads database, as far north as Object ID 43190.