Y'all are not paying attention! Deb didn't and doesn't "collect" these things. They are things that she inherited and wants to get rid of. The unfortunate fact is that most of them were once worth a good deal of money but no longer are because people simply don't want them these days. Deb's attachment to them is that they were once her mother's. Occasionally she'll mention a particular item and recall that she remembered this or that thing from her childhood. As I see it, the problem is reconciling the fact that something that once had monetary value doesn't mean it still does and she's loathe to give away things that she perceives as having value. They do have value, but the value is sentimental, which is why I suggested that she take pictures of them (as a reminder of her mother and of her life growing up).
Even her mother (along with whichever other relatives) wasn't a hoarder. It was quite common in days gone by to have teacups, figurines, do-dads, objets d'art, as part of the décor, usually kept behind glass in china cabinets, on mantles, and on side tables, night stands, and dressing tables.
I guess the point I'm not getting across is that we all attach more monetary value to things that are ours (like our cars and our homes) than others do. It's very hard to be objective about our own possessions...one reason why an appraisal is necessary when, for instance, we put our homes on the market. It's "home" to us but merely a house to a third party.