Wow, I could have posted this!
With the exceptions of Lydia and Gwendolyn, all of those have been on my personal name list at one time or another. I like Lydia enough, too. Gwendolyn I'm not fond of, though I do love Genevieve.
Of the MNs you have listed, I think Cora June flows best, though overall it's not my favorite name of what you have listed.
Some more suggestions from my reserves:
Cora Beatrice
Cora Helena
Cora Lucille
Cora Meredith
Magnanimous Despair alone could show me so divine a thing, where feeble hope could ne'er have flown, but vainly flapped its tinsel wing.