Coates D. Redmon of Washington has made known the engagement of her daughter, Skipwith Carter Winslow Redmon, to Alexander Campbell Banker, the son of Mr. and Mrs. Douglas H. Banker of Garrison, N.Y.

Ambassador and Mrs. Warren Zimmermann of Belgrade, Yugoslavia, have made known the engagement of their daughter Elizabeth Zimmermann to Charles Michael Metcalfe, a son of David P. Metcalfe of London and the late Alexa Metcalfe.

Mr. and Mrs. Phil David Fine of Boston have made known the engagement of their daughter Debra Fine to Martin Ivar Schneider, the son of Mr. and Mrs. Jack Schneider of Manhasset, L.I.

Neil Reynolds Cronin of East Dennis, Mass., has made known the engagement of his daughter Maura Ann Cronin to Matthew Powers Connolly, a son of Mr. and Mrs. William J. Connolly of Weston, Conn.

Mr. and Mrs. Robert Gaines of New York have made known the engagement of their daughter, Nan Gaines, and Robert D. Foster.

Frederick Woolworth of New York and Winthrop, Me., has made known the engagement of his daughter Priscilla Woolworth to Cassian Elwes, a son of Mrs. Elliott Kastner of London and the late Dominic Elwes.

Mr. and Mrs. Frank William Houlton of New York and Fair Harbor, L.I., have made known the engagement of their daughter Jennifer Mann Houlton to Kosmo Vinyl, the son of Harold Dunk of London.

Dr. and Mrs. Abraham A. King of Binghamton, N.Y., have made known the engagement of their daughter Georgia King to Dr. Todd Lerner, a son of Mr. and Mrs. Charles Lerner of Brooklyn.

Virginia M. Paul of New York has made known the engagement of her daughter, Penny, to Michael Edward Moran, a son of Mr. and Mrs. Edward M. Moran of Weston, Conn.

When this became known the engagement between Gregory and the Komnenos daughter was broken off, as they were now considered close relatives and their marriage was prohibited by civil and ecclesiastic law.