I also belong to a shawl ministry where they are either knitted or crocheted. My website is
http://www.chancy.org/family/Shawl%20ministry/index.htm
Our church also has a quilt ministry called Prayers and Squares. These are not shawls but more like lap robes or crib size quilts. The idea is that each square is hand tied and each tie is a prayer.
http://www.setonparish.org/index.cfm?load=page&page=347
I also belong to the Linus Club and while they dont necessarily pray over the quilts they go to a great cause.
http://www.pldallas.org/