In Dill town, you can only buy whole grains at Carrot's Store, and you can only buy office products at Rosemary's Store. In a strange coincidence, any time Basil is at Carrot's Store, Lily is at Rosemary's Store, and any time he is at Rosemary's Store, she is at Carrot's Store. Basil is buying barleycorns. Where is Lily?