Lisa Marie Presley
10/13/2008 at 06:15 PM EDT
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.