Late on June 4 , the extratropical system entered New England . Late on June 5 , what was left of the cyclone was taken over by a larger weather system , near the border of the U.S. state of Maine and the Canadian province of Quebec . Late on June 4 , the extratropical remnant entered New England , and late on June 5 the remnants of Barry were absorbed by a larger extratropical cyclone near the border between the U.S. state of Maine and the Canadian province of Quebec .