I've done a lot of work with old quilts and fabrics.
From what you wrote and not seeing pics I would soak as many things as I could by hand and tumble dry on low or air-dry (my favorite way). If the quilts are all together I have washed them ( I usually pre-soak quilts in the machine first) and dry on low or again, air dry. I don't like working with anything unless it's cleaned first! Can you post some pics???
Hope this helps! :D