wool batts wash up beautifully...why are you afraid they may be wool?
do you know how old they are? if they are new enough for poly batts to be on the market i might be concerned- but before polyester- wool & cotton were the normal choices- and both are washable-
if the quilt is old and fragile launder it very gently---why do they need cleaned? would it be possible to do a spot clean? if it is to freshen the whole thing there are tutorials & recommendations available- search for (caring for your quilt) or cleaning your quilt-
some soak them in a bath tub- pushing them up & down- then squeezing out the water & laying them out on sheets to dry-
it all depends on the age- the condition- were they heirlooms (packed away) or were they utility quilts- used on beds? if they were used- they were probably cleaned in the past-
sometimes vacuuming is recommended...if your search doesn't answer enough questions contact a (specialist) who can look over the quilts and tell you what you need to know- you can usually find them at large quilt shows- or through the American Quilter's Society-