. . . it's funny that a linguist who happens to be using the exact same computer as you would come along right at this moment, isn't it?
If you knew all that, why did you bother asking us? Besides, that's the history of the name
Harmonia, NOT
Harmony. They're related but their geographical usage is of significant enough difference to warrant different historical investigations. And you asked about
Nicole itself, not all derivatives of
nikolaos.
And, for your information, I am an archaeologist and historian with two university degrees, and I got 100% in more than one linguistics assignment in first-year university. So don't pull the "holier than thou" approach, it's falling on quite oblivious ears.