To be honest, she is just viewed as the Triple Goddess.
The most frequent name is Diana, there is also Dianic Wicca.
So if you must name the Goddess then you should call her Diana, as for the God, he is usually viewed as The Horned God.
The most frequent name for him is Pan, which has Greek routes & Celtic routes.
I worship the Goddess however still believe the horned god to be a real entity.
As for the rest of the Gods whether it be Isis or Zeus, I believe them to be entity's/ways of life that can be invoked through the soul & mind.
Some however believe them to be living Deitys, but you believe what you want to believe in

that's the great thing about Paganism & Wicca.
But to answer your question based on Celtic mythology, I'm really sorry I dint know where Diana's origins come from but I'm sure it doesn't really matter.