08/08/2011 AT 06:00 AM EDT
enjoyed a salmon salad at Gladstones Malibu with her husband Carey Hart
, mother and newborn daughter Willow
. The trio sat outside and enjoyed the beautiful oceanfront views during the low-key family meal. And when it was time to leave, the singer got a special treat: the restaurant played her song, "Please Don't Leave Me," as her car pulled up.