 VT 14 continues north for another 2 miles ( 3 @.@ 2 km ) through the village of North Randolph before entering the town of Brookfield . Upon reaching the village of East Brookfield about 3 @.@ 6 miles ( 5 @.@ 8 km ) north of the town line , VT 14 intersects with VT 65 , the route to Brookfield center . Further north , VT 14 passes by Ainsworth State Park , which straddles the town line between Brookfield and Williamstown and also marks the upstream end of the Second Branch of the White River . VT 14 continues north through the narrow mountain pass of the state park and eventually arrives at the town center of Williamstown , where it intersects VT 64 . After another 2 @.@ 3 miles ( 3 @.@ 7 km ) , VT 14 crosses into the town of Barre . It proceeds through the village of South Barre , intersecting with VT 63 , and continuing into the city of Barre . In Barre city , VT 14 runs along South Main Street for 1 @.@ 2 miles ( 1 @.@ 9 km ) until the junction with U.S. Route 302 . US 302 and VT 14 overlap along North Main Street as they head into the city center . At the city center , the two overlapped routes split at a large four @-@ way intersection that also includes a junction with VT 62 , a short connector to I @-@ 89 . US 302 heads northwest directly towards the city of Montpelier , while VT 14 heads north along Maple Avenue towards the town of East Montpelier . VT 14 briefly re @-@ enters Barre town for about 0 @.@ 6 miles ( 1 @.@ 0 km ) before entering the town limits of East Montpelier . After 2 @.@ 4 miles ( 3 @.@ 9 km ) , VT 14 crosses the Winooski River into the town center , where it meets U.S. Route 2 . 
