After talking with a new mother and consulting with several blog friends about a backings and battings for this, I ended up using Ultra Cuddle fabric with no batting. Quilting was done on my DSM using a walking foot in straight lines.
From the left overs I pieced this quilt. Once again I used the Ultra Cuddle for the backing with no batting. The quilting was done on my Handi Quilter Sweet 16 in an all over large meander.