They are the heads of the Olympic Coven. It is named that way because they live in the Olympic Peninsula in western Washington State.
On the back of Breaking Dawn -the book- You'll find a list with all the covens.
Carlisle's coven are the Olympic coven. It tells you in the vampire index at the end of breaking dawn.
the olympic coven(carlisle,esme,emmet,jasper,alice,rosalie,edward) and the wolf pack.
The Olympic Coven is the name given to a group from the Twilight series of books and movies. The members include Edward Cullen, Bella Swan, Renesmee, Alice, Emmet, Carlisle, Esme, Jasper, and Rosalie.
Esme =Elizabeth Reaser Carlisle = Peter facinelli
Carlisle Cullen, Esme Cullen, Edward Cullen, Alice Cullen, Jasper Hale, Emmett Cullen, and Rosalie Hale. In Breaking Dawn, Bella and Renesmee Cullen join the Olympic coven.
If you're asking about after Bella becomes a vampire, the it's Carlisle, Esme, Emmett, Rosalie, Jasper, Alice, Edward, Bella, and Renesmee (Nessie)
Carlisle bought Isle Esme for a present for Esme
Esme
Carlisle, for a wedding gift
She receives plain vouchers for her birthday off Carlisle and Esme
Esme Island Carlisle bought it for Esme
it is called Esme's island because it was a gift from Carlisle to his wife Esme.