May 21, 2014 07:45 PM

Axelle Woussen/Bauer-Griffin

Update May 21: As promised, Hank and Kendra have chosen a traditionally male name for their daughter. Alijah Mary Baskett arrived at 8:02 a.m., PEOPLE confirms.

Originally posted May 16: Kendra Wilkinson welcomed her second child with husband Hank Baskett on May 16, her rep confirms to PEOPLE.

The couple’s daughter, whose name is yet to be released, was delivered via cesarean section at Cedars-Sinai in Los Angeles on Friday morning. She joins big brother Hank IV, 4.

The reality star, 28, has been open about her decision to expand her family — from convincing Baskett it was time to conceive to giving fans a glimpse of her positive pregnancy test.

In December, Wilkinson revealed the baby on the way was a girl — but insisted she would not be promoting the princess fairytale in her daughter’s upbringing.

“People keep asking me if I’m excited to have a ‘princess’ and I usually respond with, ‘I’d rather have my girl be a superhero than a princess.’ I believe making her think she is a princess is unrealistic and sets up a fantasy world,” the Kendra on Top star wrote in her pregnancy blog.

“I want her to live and learn as I did — outside, playing in dirt and kicking a ball around.”

Crediting her husband — whom she married in 2009 — with playing a supportive role throughout her pregnancy, Wilkinson told PEOPLE she was equally proud of their son.

“Every day is about his sister. Anything he learns — like not talking to strangers or crossing the street — he’s like, ‘I want to teach my baby sister, I want to make sure we protect her,'” the proud mom said.

This is it guys. It’s time. Love you all n tweet to ya again when I can. Xoxoxo. 👶👶👶👶👶👶👶👶👶 😃😃😃😃😃😃

— Kendra Wilkinson (@KendraWilkinson) May 16, 2014

Thank you to all the congrats & well wishes y’all have sent! Been a busy cpl of days but happy to say both my ladies are home & doing great!

— Hank Baskett (@TheHankBaskett) May 20, 2014

RELATED: Kendra Wilkinson’s PEOPLE.com Blog Series

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