can i take anyone who lives in another country to court for sending emails to my friends and family on facebook?

Because this woman has intentionally sent emails to residents of this country, and these emails are the basis for your lawsuit, a court in the united states would probably have jurisdiction to hear your suit.  However, as a practical matter, she probably will not appear in the action, and, even if you win a judgment,  it may be difficult (but not impossible, at least if she has the wherewithall to pay the judgment) to enforce a default judgment against a Scottish resident.