Last week I organized scrap fabric as Brad and I watched the Phillies. I admit it, I'm really good at saving scraps--not so much at using them. Linda encouraged this to be a "scrap summer" and I'm finding it a lot of fun to think of projects.
Historically, I think that scrap quilts have always been a part of our quilting tradition. Many 19th century newspaper articles refer to scrap quilts in competition notations. It makes sense as part of the "waste not, want not" tradition of our foremothers.
I suspect a favorite pattern was the mosaic which used the English paper piecing method. I've seen lots of tops of these that had the paper still in them. Here's one I found on the worthpoint cite:
This photograph shows a whole exhibition at a museum in Ephrata, PA:
Other household linens like pillowcases and shams can utilize scraps and leftover blocks. This is a Pennsylvania German pillowcase: