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I like it. It's very pretty and Shakespearean, but it's also got a friendly feel, although maybe that's the Anne association - I'm a fan too (and from the books I'd say your family are very lucky, PEI sounds like a beautiful place to live!)
The sibset looks nice to me, and I like the repeating 'c's too now you've pointed them out. Nice to see a little Malcolm, it's a great name.
I'd go with Cordelia Anne, but I think Maureen and Iris work well with it too.