Lisa Marie Presley's Twin Girls Named Finley & Harper

Born last week, the daughters are the first children for the singer and husband Michael Lockwood

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.

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