One of the more attractive resorts on Ohio’s Lake Erie frontage, Vermilion (pop. 10,409) took its name from the rich red clay that colors the soil. Along with a fine beach backed by dozens of attractive summer homes, the town also holds a great old-fashioned ice cream and sandwich parlor, Granny Joe’s Ice Creamatorium (5598 Liberty Ave., 440/967-3663), which stands at the center of town. For a more complete meal, try the comfortable Old Prague Restaurant (440/967-7182) next door.