A pillow cover includes first and second panels joined to one another at front and rear edges to form upper and lower surfaces and side panels joined to the first and second panels at their respective peripheries. The side panels sides each have enlarged end portions with a thinning middle section to define an hourglass shape. The enlarged end portions having a major dimension. A baffle panel is joined to the first and second panels and extends between the side panels. The baffle panel has a height dimension less than the major dimension. The first and second panels, the side panels and the baffle panel define two continuous internal volumes. The baffle panel maintains the pillow in an hourglass shape. The side panels are symmetrical front to back. A filled pillow having an hourglass shape is also disclosed.