From The Bill James Historical Baseball Abstract:
Playing center field at Comiskey Field on August 3, 1945, [Doc] Cramer was astonished to see a chicken running loose in center field. Cramer chased the chicken all over center for several minutes, finally caught it, and discovered a note attached saying, "This chicken is a present for the pitcher who wins the game." Earl Caldwell pitched a shutout, and Cramer handed him the chicken as he left the mound.