A method making an elastic nonwoven composite that contains an elastic film laminated to one or more nonwoven web materials is provided. The method includes forming an elastic film from a polymer composition and passing the film and a nonwoven web material, the nonwoven material having a basis weight from about 5 gsm to about 30 gsm, through a nip formed by at least one patterned roll. The patterned roll includes raised bonding elements repeating in the machine direction, the elements being spaced in the machine direction by less than about 760 micrometers. At the nip, the film and the nonwoven web material are concurrently melt fused while the film is under tension at a stretch ratio of about 1.5 or more in the machine direction.