The wooden spools are collectible and sell for varying amounts dependent on seller, but don't throw them away or sell them, display them some way as a reminder of your grandmother.
The varigated spools, not the box top, look exactly like the DMC 60 wt. cotton varigated thread for machine embroidery. Check the spool ends for labels. If they are 60 wt then the thread will break easily, but they are wonderful for hand or machine applique. I love them for different projects because you don't have to worry about the iron melting your thread.
Silk is forever, I think Rayon too, again these are both great for either machine or hand applique.
I wish I had been lucky enough to receive such a wonderful gift.
Longarm