As if winning the genetic lottery wasn’t enough, Jessica Alba’s baby just scored big time in the swag department, E! News Online reports.

Some of Mama Jessica’s friends and family descended upon Ever After Teahouse in Studio City Sunday for a baby shower.

About 35 people made it through a gauntlet of paparazzi to get to the party, including Rashida Jones, Jaime King and Kim Kardashian, who told E! News her gift included “stuff from my store, Smooch.”

Alba made her entrance wearing a long black dress and black glasses, with her hair down. She was hustled in via a side entrance.

The shower took place outside under white umbrellas. Lavender and white dominated the decor, and the soundtrack was definitely on the mellow side, featuring Buena Vista Social Club, Sade and light jazz.

Baby daddy Cash Warren arrived about an hour and a half after the party started, entering via a back alley, and just in time to help haul off all the loot.