Also you can try OdorBan (Home Depot carries it). It works well on urine (animal and human) and other organic smells. My biggest concern would be the black mold. It is toxic, so don't breath it in (in other words, stop sniffing the quilts- LOL) and wear gloves when handling those quilts with the mold. You need something like bleach to kill off the actual mold spores, but bleach is harmful to a lot of fabrics. Maybe someone else on QB can help with an alternative that will kill the mold, but not hurt the fabric. Be advised that even when the mold is killed, it can still leave black stains where it was on the fabric. Don't know if Oxyclean will kill the mold. Vinegar is not strong enough to kill mold and mildew, however.
Do you have a textile conservator (or quilt appraiser), textile department in a museum or college near you? I would try to call them to get suggestions on cleaning/restoring the quilts since they are family heirlooms.
Good luck and please let us know how you make out.
Anita