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Jessica Alba celebrates her baby shower at Ever After Teahouse with her family and friends in L.A., yesterday…and she’s smiling again!!

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Jessica Alba will name her baby daughter Honor, according to new U.S. reports.

The actress has yet to go public with the name and sex of her first child - but friends have already started talking.

Star magazine reports one pal couldn’t keep quiet while shopping for baby shower gift at a Los Angeles boutique.

A source says, “This woman was so exited that Jessica is having a girl.” And another family friend picked out a charm bracelet for the unborn tot that spelled out ‘Honor’.

Alba’s manager Chris Henze’s wife will be throwing the baby shower party at a private home in Los Angeles this weekend.

WENN

Hollywood actress Jessica Alba has filmed a spoof music video to help her finance Cash Warren promote his new social networking internet site.

The Fantastic Four star - who is seven months pregnant - is seen lip-synching to Panic At The Disco’s Back to the Streets in the video which has been posted on new site Ibeatyou.com, co-owned by Warren and his friend basketball player Baron Davis.

And the 26-year-old Latina has even posted a message on her Myspace Internet page, urging fans to sign up to the new site. The statement reads, “Hey guys! Hope everyone had a great Easter. It’s hot here in socal (South California). Being preggers in this heat takes everything to another level. We shot a quirky group lip dub music video for ibeatyou. Check it out!! We invited a bunch of users from the site and put this together last Saturday. Be well guys and check out our music video…hope you get a good laugh.”

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Cash Warren and Jessica Alba at Baron Davis’ Surprise Birthday party held at Stone Rose Lounge in L.A., March 22nd.

And she smiles!!

WENN

At the French premiere of her movie, The Eye, Jessica Alba was blogging it up, talking about Fashion, ham & cheese sandwiches, and Amy Winehouse.

Every day I have eaten ham and cheese sandwiches, I can’t get enough of them. Wish they had these back in the States, the bread is amazing. My tummy is getting bigger by the second and the little one must like the food too because it is moving and kicking like crazy. IT’S THE BEST.

She also opines on the soothing sounds of Amy Winehouse: “saw Amy Whinehouse [sic] perform. She has such an incredible voice. She’s definitely a throwback… reminiscent of Ella.”

While we agree with her on all points (Amy and the delicious French bread), we’ve got to make a future suggestion, lest she incur the wraith of Vogue’s high priestess, Anna Wintour.

While touching briefly on her Paris Fashion Week trips, Jessica lets us know she thought the “Lanvan” show was amazing.