If I am making a baby quilt I back it with polar fleece and don't use batting.
The babies love the feel of the fleece and it is still heavy and warm enough.

I use the small fleece blankets (50 x 60) for tablecloths. I quilt my quilt top on top and bind itl The tablecloth is thick enough that it protects my oak table underneath.

I used to use fleece for batting. Most of my quilt were baby quilts. 6 Yrs ago my oldest DS thought he wanted to be a fireman. While taking the Fireman class he found out that the preferred fabric for firemen is cotton or wool. The synthetics melts on the skin & makes the burns much worse. I decided to start using only natural fibers for my baby quilts. I do think it would be perfect for adults or children old enough to get the blankets off of themselves. That being said I did like to use fleece. I have since discovered wool batting which I love.

I would like to know this too..

we use the fleece for the backing no batting it quilt up great and works on the long arms

If you use fleece, make sure it has been washed. I bought some and it shrunk terribly. But fleece would be great for a baby blanket lining.

Unless you are odd like me, and would like the look of it after it shrunk to fit. I like quilts with texture. I have not tried it, but I might on something small.

Now I know what I will try it on. I have an oak table too. Thanks. :-)

Don't know if this will help, but I have used odd pieces of fleece for the batting in picnic blankets, usually made out if denim and most anything available for the backing. I zigzag the pieces togather until it is big enough and when all three layers are put togather I tie the quilt. Haven't had any complaints and these blankets really get some hard use.

I just found this. She has used fleece for batting.
http://www.quiltingboard.com/t-135186-1.htm