Requester Name Change Causes Two Accounts

Requester Name Change Causes Two Accounts

When a user has a name changed (because of marriage etc) their name and username change, and they get a second email with their new name.
Example: 
Old: Jane Smith, username jsmith, email jsmith@email.com
New: Jane Jones, username jjones, email jjones@email.com & jsmith@email.com

When AD syncs into SDP we get two accounts.  We have Override user information based on e-mail ID turned on, but the user gets a new primary email address and keeps their old one as well.  I am assuming that since there is a new email address the override does not work.  Is there a way to fix this, or at least work around it for name changes?

Thank you,
Lisa