Seven Stars, Seven Stones and One White Tree...

[Aiwendil]

As to Aragorn's green gem I'm not sure if it was a family trend to wear such gems or if it was supposed to be the actual heirloom handed down from Earendil.

Aragorn's green gem was the Elessar. Earendil's green gem was also the Elessar, but it is not certain whether it was the same gem, or whether Aragorn's had been made in memory of Earendil's. Tolkien's notes on the subject can be found in Unfinished Tales, in the chapter 'The History of Galadriel and Celeborn'.

Also, welcome to the 'Downs, Ardent! I agree that the ambiguities and alternative versions of Tolkien's stories are part of what makes them so appealing.