I think one has to ask oneself, is it old.....and special?, or pretty? or heirloom quality? You only said it was an old family quilt. I have some old quiilts that are 1-ugly 2- threadbare 3-not much more than rags sewn together. One might take more time, effort and/or expense depending on these questions. Some take old quilts and cut them up to be pillows if they are shabby. You can put bridal veil net over the quilt which will keep it intact and not show. Maybe not for this quilt but keep that in mind for future use. Amway has a Liquid Organic Cleaner that is so gentle that you can brush your teeth with it and it cleans great. But some old quilts just disintegrate no matter what you do.
How did you get the quilt?