Well her son is named after
Matthew Broderick's father,
James Wilkie Broderick so they may go for more family names?
Matthew Broderick's maternal grandmother was named
Sophia (all of this is according to Wikipedia) and I think that could be a contender. I think they will choose a classy name with some history.
I am going to put
Sophia and
Victoria out there.
James,
Sophia and
Victoria