How do I edit the name of a contact if it's linked via Facebook?

I have a contact that I have On My Mac, in iCloud, and in my Facebook friends' list. On My Mac and in iCloud, the name is correct, but the Facebook card uses just her first two letters of her first and last names. I've linked all the cards together, but I can't seem to edit the card to display the name with the iCloud or On My Mac names--instead, they just show the Facebook name.

Is there no way to pick one of the three that I want to be the display name, or edit the name regardless of what my friend has put as her Facebook name?

Thanks in advance for any help you can provide.