help me see this from another perspective...
The key sentence is: "It is not the first time I've had to follow up about the quilts arriving." So any charitable and/or not-for-profit organization that cannot keep track of donations through good recordkeeping, will very quickly find the IRS knocking at the door and They Will NOT Win with the bad recordkeeping.
If you have to check to see if they have arrived, you really have no knowledge that your donations were used as a loving comfort for an needing adult, maybe your quilts were sold and the money went someplace.
Find another charity.