If I were you, I would never ever threw things that, belong one of family members, especially if it is from your parents.
I have encountered the same situation, where I had to decide whether I should throw things out or keep it. Of course I did keep it. Frankly speaking these things do not hold a big space. But when the time comes (For sure one day it will come) you will miss those things that belong to your mom or dad, and reminds them whenever you see it, and you will certainly regret..