Woolsey-BarnerCONKLIN. NY.Mr. and Mrs. Charles B. Woolsey of Conklin have announced the engagement of their daughter. Janet Lee. to Howard Jay Barner. He is-the son of Mr. and Mrs. Howard Barner of Woodbourne.The bride-to-be was graduated from Susquehanna Valley High School and is a senior majoring in secondary mathematics education at the State University College at Oswego.Her fiance, a graduate of Brooklyn Technical High School, also is a senior at Oswego. He is majoring in industrial arts education.A December wedding is planned. .