Charlize Theron Keeps Son Jackson Under Wraps

04/01/2012 at 05:30 PM EDT

Beverly Hills, CA - Actress Charlize Theron was spotted making her way into Bouchon restaurant Sunday carrying some precious cargo.

Unfortunately, anyone dying to catch a glimpse of her newly adopted son Jackson was out of luck. Last time his carrier was covered in stars, and this time his muslin swaddling blanket was striped.

Also in tow for the Beverly Hills outing was Theron's mom Gerda, who "has been helping out with the baby," a source told PEOPLE.