Great interest was manifested at Hampton (Kings Co.) yesterday over the trial of Joseph QUIGLEY for the murder of Geo. M. TIERNEY which occurred in Sussex last January. ... The first witness was James PERRY who stated he lives at Sussex, born in the county, tavern keeper for Arthyr McLEAN, Sussex. On that day about noon, Cornelius TAYLOR, George M. TIERNEY, Joseph QUIGLEY, Wm SPEARS, Leveret LAWSON, James CAMPBELL, Arthur FENWICK, John SPROUL, Christopher SMITH, Moses K. CHAMBERS, a man named CHETTICK and John CAMERON were in the tavern. Testimonies of Albert J. FENWICK of Studholm; John SPROUL, hotel keeper, Sussex; Moses K. CHAMBERS, Edwin VAIL, Christopher SMITH