SewingSupport.com has a number of free scarf patterns as well as a pattern for a fleece neck warmer. A list of over 100 free scarf patterns is available at TheSewingLoftBlog.com. AllFreeSewing.com is a website with more than 30 winter fleece patterns.
The Sewing Loft lists scarf patterns in various categories, such as child-friendly, infinity, fringe and ruffle. There are patterns for both sewing scarves and knitting them. SewingSupport.com also has a range of scarf patterns, including patterns for scarves that are fringed, spiraled or patched. Many of these patterns are for fleece scarves, and a number of patterns are for infinity scarves. AllFreeSewing.com has patterns for scarves as well as for headbands, hats and blankets.