Is there an adult day care center which provides a client a bed or mattress for an accompanying aide to change the client when necessary?

UVM, your best bet is to call your county Agency on Aging to see if such an adult day care exist in Morristown, NJ.

Sorry we can't help you more, but this website is worldwide, so you need to wait until someone who is from Morris County comes onto the forum. At the moment I can't think of anyone. I had lived in Morris County back in the mid 1980's, beautiful area :)