== One person, many valid names ===
I've added the words "also known as Hillary Clinton or Hillary Rodham Clinton" to the intro, which seems to be appropriate regardless of the decision regarding this move. As far as I can see, she has had, or used, the following names:

 Hillary Diane Rodham, her official birth name
 Hillary Rodham, the name she was most commonly referred to by before her marriage
 Hillary Diane Rodham Clinton, her official name after taking her husband's name
 Hillary Rodham Clinton, her preferred name for herself. both then and now
 Hillary Clinton, the name the public knows her by, which is also the name she primarily uses in her official campaign materials

All of these names are, or have been, in their respective contexts, valid names for the same person.    

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