I think Cormick looks like a variant or a creative spelling of
Cormac. I've never heard of Cormick, but if the meaning you have is correct, it's much nicer than the unfortunate meaning of
Cormac! (which is too bad, really, 'cause it's such a nice name).
I like
Mack for a nickname the best. I don't like
Cory, and
Mick is (or at least was) a derogatory name for Irish immigrants. I don't know how many people would make that association anymore, but that's what it makes me think of.
Also, McCormick is a spice brand, if that's what you're thinking of.
I like these combos of yours:
Cormick
James Cormick
William Cormick
Daniel Cormick
Samuel Cormick
Timothy Cormick
Riley Cormick
John Cormick
Alexander Cormick
Gregory Cormick
Henry Cormick
Oliver
But I think Cormick
Gregory, Cormick
Henry, and Cormick
Oliver are the best.
Some other ideas (I tried to keep to a similar style):
Cormick
ArthurCormick
BenjaminCormick
EvanCormick
Lewis