When will we see France's first daughter? Frenzy for first photos of Bruni-Sarkozy baby

She may be the first baby born to an active French president, but Guilia Bruni-Sarkozy, the daughter of Nicolas Sarkozy and Carla Bruni-Sarkozy, isn't ready for her close-up.

On October 19, three weeks after her due date, France's first daughter arrived at a Paris'Clinique de La Muette.

See photos of Bruni-Sarkozy and more famous pregnant women over 40

The following day mom Carla thanked well-wishers and shared the name of her daughter on her website. "I am deeply touched by the many messages of congratulations that I have received since the birth of our daughter Giulia," writes Bruni-Sarkozy.

That might be the all we'll know of baby Guilia for some time.France's first lady has made it clear she plans to keep her newborn far from the public eye.

"I will never show pictures of this child, I will never expose this child," she told the French talk show, Sept a Huit, during her pregnancy. "I think exposure to public life is a choice to be made by an adult."

Because France's law bans images of children without parental consent, baby Bruni-Sarkozy may remain under wraps for a lot longer than celebrity babies stateside.

But according to the Telegraph, there's a chance the couple will offer some "long-lens photo opportunities - perhaps out in the park at Versailles, just as Sarkozy and Bruni did after their marriage".

If couples do opt to make a private photo session public, the payday could rival the $4 million salary Shiloh Jolie-Pitt earned from her debut in People Magazine.

"Carla Bruni is in a unique position, because she is a celebrity but also the wife of the head of state. This will be the most important baby to come out of Europe and the U.K .until Wills and Kate spawn so a picture of it will be worth a premium," says Jo Piazza, author of the upcoming book Celebrity, Inc: How Famous People Make Money. "I imagine that through a deal for domestic, inter-European and foreign rights for photos and videos, Bruni could fetch around $4 million."

Not that baby Sarkozy needs the cash. With both parents boasting multi-million-dollar bank accounts, a primary residence at France's gargantuan Elysée-Palace, and a second Parisian townhouse, the child of France's president is akin to European royalty. When her parents take a ski vacation, they're accompanied by at least 15 bodyguards. When they jet to Mexico for a few days of sun, they stay in $3,000 a night villas surrounded by a $60,000 security detail. It's good to be a Sarkozy-Bruni.

Of course, Carla's daughter will have to share the wealth with her four half-brothers (three from her dad's previous marriages, and one from her mom's previous relationship) as well as Sarkozy's new grandchild. That's right, baby Bruni-Sarkozy's nephew is a year older than she is, if you can wrap your head around that.

Both parents aren't new to running a high-profile family, being the target of media scrutiny or dealing with photographic over-exposure (remember those nude photos?). But they're not taking any chances with their youngest. Police have clamped down on security at the maternity ward to prevent roving press hounds, and fellow patients from catching a glimpse of the country's tiniest star.

Mom Carla is clinging to the hope that French don't froth over celebrity kids like they do in other countries. "So many women are expecting children and giving birth," she told the BBC, "and it's so uninteresting for French people."

Judging from the crowds camped outside the Paris clinic where the new addition to the Sarkozy family is spending her first days as first daughter, the French are finding this baby pretty interesting.

Related:
Carla Bruni: I love you
Carla's chaste new look
Carla Bruni: Mean Girl?
40 plus and pregnant: Bruni leads the pack