A method of making an elastic composite entails conveying a first sheet on a conveyor, and wrapping a section of elastic about the first sheet and the conveyor, thereby applying elastics cross directionally across the sheet. A second sheet is then applied onto the first sheet thereby creating a subcomposite including the two sheets and elastics sandwiched therebetween, wherein two elastics extend outward from one side of the subcomposite, about the conveyor, and return into an opposite side of the subcomposite. The subcomposite is cut through the first and second sheets and the elastics, thereby separating the subcomposite into a first carrier and a second carrier, each carrier including a material layer, whereby spaced apart elastics extend from the first carrier to the second carrier, the first and second carriers defining an exposed elastic region therebetween formed by the elastics.