Woodsville is a census-designated place in Grafton County, New Hampshire, USA, along the Connecticut River at the mouth of the Ammonoosuc River. The population was 1,081 at the 2000 census. Woodsville is a village within the town of Haverhill. Although Haverhill is officially the county seat of Grafton County, the village of Woodsville is traditionally considered the county seat, as the county courthouse was originally located there. Woodsville apartments for rent comparison page shows most up to date rent information on Woodsville apartments and houses. Rent information is obtained from multiple rental sources but we cannot guarantee their accuracy.