I also take what is offered with sincere thanks, people know I do a lot of charity sewing, even a local sewing machine shop gives out my name when they are asked where can they donate fabrics, most of the time it is from a deceased family member or a family member moved into a nursing home and those donating are doing it out of goodness & respect for their family member.
I sort thru it, keep what I can use, pass the rest on to various sewing groups, there is even a local church group that will take anything-they make sleeping bags for the homeless & use all the fabrics to stuff inside for more warmth.
And yes, there have been a few times, very few, when I have just thrown it away because it was in such bad shape that it could not be made usable.