I strip quilt quite often.
Piece your blocks together and sew together a whole row.
Cut batting and backing slightly larger than your strip.
***Quilt to within 3 inches of the edge.
Lay the next strip of backing face up.
Lay your quilted piece on top also face up.
Lay the next strip of pieced blocks on top of that face down. Pin in place and sew with a 1/4" seam.
Lightly press your seam so that the backing and top of next strip are down away from the quilted strip. Lay it out flat, fold back the pieced top, lay a new strip of batting on the backing, bring the top down over it. Baste and quilt ***Repeat until done then just quilt the 3 or so inches all the way around the edge and put your binding on.
If this method is patented by someone I don't know. All I know is that I had to get a quilt quilted on a small machine and didn't know how else to do it. It went fast, was easy up until the very last then it got heavy. I wouldn't recommend this method for an heirloom quilt but if it's one that's going to be used and loved well then go for it. If you want it to really look nice, leave your quilting threads loose and long at the edges and work them into the batting layer with a hand needle later.