I often use flannel as the backing for small quilts. Sometimes without batting, sometimes with 2 layers of flannel instead of batting. They are more for wrapping than for big quilt warmth. And, with babies, they are going to be in the washer A LOT! My daughter made throws for many of her friends when in high school for them to take with them to competitions (sitting in the stands waiting for awards could get a bit cool). She did the tops with squares of fabrics that meant something to the person and did the backs in flannels without batting. These were great to roll up in their backpacks.