Lisa Marie Presley's Twin Girls Named Finley & Harper

Monday October 13, 2008 06:15 PM EDT

Lisa Marie Presley

Mike Flokis/Headpress/Retna

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Lisa Marie Presley and husband Michael Lockwood have picked out names for their newborn twin girls: Finley and Harper.

The couple's first children together were born Oct. 7 via C-section and weighed 5 lbs., 15 oz. and 5 lbs., 2 oz. The names were confirmed to PEOPLE by Presley's rep.

Presley, 40, also has daughter Riley, 19, a model, and Benjamin, 15, with ex-husband Danny Keough.