What a special gift your mom left behind. I would treasure them forever.
As far as washing the quilts you need to be careful colors don't bleed if you don't know if the material was washed prior to being used. You can purchase special washing solutions at Joanne's fabric or any good quilt store. I wouldn't use commercial detergent. Always wash in delicate. Then place in the tub to rinse out the suds. Air dry for a while then dry in the dryer. Good luck!
Patty allayne