This is exactly what I gave done on those quilts that need a bit of TLC, and it helps keep the quilt pieces intact and the smaller the voile (Netting), the better it works.
You are best to use lanolin soap, it only takes a couple of capfuls to do a washing machine tub of warm water, put in your quilt and soak for 20-30 minutes, do not rinse or adjitate the wash cycle. turn the machine onto spin,once finished - hang to dry or lay flat - leave in the lanolin soap, it helps your batting retain it shape and not come apart and ruin the quilt.