My husband’s grandmother’s two diamond rings went to her eldest daughter. When she died without ever having had children she left her estate to her favourite niece.
The niece (DH’s cousin) offered the rings to us, as she had no children either and DH was the only one of all the cousins to have daughters. I thought this was a nice gesture, but she then changed her mind and kept them. All her possessions later went straight to a house clearance company when she died, and I did feel sorry that the rings weren’t kept in the family. I’m pretty certain our girls would have remodelled and worn them in some form, and they both have a feel for family history.
So yes, if I were you I’d offer the ring to your cousins, so that it stayed in the family if anyone would use it. It’s entirely your decision though, of course. And perhaps, though you say you don’t have daughters, you may have a daughter in law or granddaughters who would like it?
What were your dream names for your kids when you were growing up?


Also there are different grades of gold in the two sets of rings. I am sad also at how little interest there was in having a memento from her house as she stipulated in her 'letter of wishes'.