Kim Kardashian Baby 'Looks Just Like' Reality Star; Daughter's Name Revealed?

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REUTERS/Lucas JacksonKanye West and Kim Kardashian arrive at the Metropolitan Museum of Art Costume Institute Benefit celebrating the opening of "PUNK: Chaos to Couture" in New York, May 6, 2013.

Kim Kardashian gave birth to her first child on Saturday morning and new reports claim to have information about the baby's name.

On Saturday family and friends of Kardashian and Kanye West took to Twitter to congratulate the couple on their new bundle of joy. While they are yet to publicly reveal their baby girl's name, sources have released alleged details on the moniker.

"All I know is that they're going to name it something with a K," a source told

Fans are speculating that West, who lost his mother, Dr. Donda West, in 2007, may have chosen his daughter's middle name in honor of his late mother.

"If Kanye has a daughter, he wants to name her Donda, after his mother," a source previously told Hello magazine. "He's been saying that for years, and he will really try to get Kim to do that."

Kardashian, 32, gave birth at Cedars Sinai Hospital in Los Angeles on June 15, and her daughter, who weighed in at just under five pounds, was almost one month premature. Both Mom and baby are said to be doing well.

"I can not even begin 2 describe the miracle that is now apart of our family. Mommy/baby are healthy & resting. We appreciate all of the love," Kardashian's sister Khloe tweeted.

The baby girl, who is also West's first child, is believed to resemble her reality TV star mother more than her rapper father.

"She has dark hair," a source told E! News. "She looks just like Kim."

Kardashian and West first announced her pregnancy in December, after one-year of dating. The pair may reportedly reveal their baby girl's name on Kardashian matriarch, Kris Jenner's upcoming talk show "Kris."

"Kris Jenner wants Kim's baby all over her show. Either having the name reveal or have Kim bring the kid on the show to be the first to show what the kid looks like," a source said.

"They know much will be revealed about the baby before the July 15 show debut, but many firsts with the baby will be revealed on Kris' show," the source explained.