A composite nonwoven fabric having latent elasticity is provided having a latently elastic core comprising a first component that includes a thermoplastic elastomer and a second component that includes a single site catalyzed polyolefin, and at least one gatherable facing material laminated to the elastic core. The first and second components may be, for example, in the form of alternating filaments of styrenic block copolymer and single site catalyzed polyolefin or in the form of conjugate filaments having a first section of styrenic block copolymer and a second section of single site catalyzed polyolefin. Also disclosed are methods of making the latently elastic stretch bonded laminates and personal care articles containing the latently elastic stretch bonded laminates.