Provided are fabrics, components thereof, and methods for making the same. Woven and nonwoven fabrics are composed of fibers composed of a polyolefin composition. The polyolefin composition is composed of a propylene polymer and up to about 50 wt. %, based on the weight of the fiber, of a hydrocarbon resin. Fibers prepared from polyolefin compositions exhibit favorable elongation properties. Such fibers exhibit advantageous processing and enhanced levels of softness, durability, and elasticity, even at high spinning speeds required for preparing fine fibers.