"There is no feud, no problems - this is all fake news.
"Jess and I are absolutely still friends there is no issue."
However, some reports allege the pair have barely spoken over the debacle.
Days earlier, a source close to Benz told the Sydney Morning Herald she was upset with Hart's choice of name.
"[She was] devastated that her close friend would copy her daughter's 'unique name'," the source told the publication.
Hart told People at the time of her daughter's birth why she decided on the name.
"I first heard [the name] in the movie Dirty Dancing and always thought I'd love to name my daughter Baby."
According to the New York Post, an unnamed source said Hart contacted Benz about wanting to call her daughter a similar name.
She allegedly told Benz: "We are calling her Baby, but don't worry - it's spelled differently!"
The reports of the baby name disagreement sparked a social media frenzy.
"No one puts Baybi in a corner," podcast host Rachel Dodes joked.
"I'm opposed to allowing influencers to raise human beings. Or to influence anyone," a Twitter user posted in response to the story.
"I maintain that not everyone should be allowed to name their own children," another posted.
