My quilt class a couple years ago did a sampler quilt. They used a qayg method. I sewed the squares into rows and cut the batting just a bit bigger and then quilted each row to the batting. Then attached each row and batting by whip stitching until the top and batting was put together. Then we pinned the backing on and then stitched in the ditch to secure backing. (I'm sure that's as clear as mud, right? )
When I get brave enough I want to do some fmq fillers in each square.