Andrea Weigl defines the year by her canning sessions. In the winter, she makes bright yellow Jerusalem Artichoke Relish from her backyard crop. In the spring, she conjures up sweet red Strawberry Preserves. In the summer, it's savory Yellow Squash Pickles and peaches, pickled, brandied, or as a thick butter. And in the fall, she folds her Fig Preserves into a cake famous on North Carolina's Outer Banks.
Today's revival of pickling and preserving,...