(2-part post):
When someone makes a gift to another person, the giver forfeits all rights to that property. So the man who gave the wedding and eternity rings gave up his rights to the property and his daughter can't re-create such rights simply because her father made the gift.
If your friend's mother was married at the time of her death, all of her personal effects will have become the property of her husband. (There might be an exception to that rule if your mother left a very large estate, but I'm assuming that this wasn't the case). Her husband could choose to give them to various family members, at his discretion, but there would have been no obligation upon him to do so.
If your friend's mother was not married (either because of being divorced or through being widowed) at the time of her death, one of her children should have applied for a grant of letters of administration. Once they'd received the grant, they could then distribute her estate according to the intestacy rules. In practice, where someone dies owning very little, family members often don't bother with the legal formality of applying for letters of administration. However, the person distributing the property of the deceased person is still bound by the intestacy laws.
If the lady who died didn't have any children under 18 years of age (or who were otherwise directly financially dependent upon her), the person who distributed the estate should have ensured that each of her children received an equal amount. (If one of her children had died before her, but after giving her grandchildren, those grandchildren would be entitled to share whatever would otherwise have gone to their deceased parent).