and Sacha Baron Cohen
have named their daughter Elula Lottie Miriam Cohen.
The couple celebrated the arrival of their second child around seven months ago and have remained very secretive about the tot's moniker but it is now thought to have gone with Elula, the Hebrew name for August, Us Weekly magazine has claimed.
Isla - who also has a three-year-old daughter Olive - recently joked she calls her baby 'Taliban' in a bid to keep her out of the public eye.
Speaking about why she is so secretive, the 'Rango' actress told Elle magazine: "With the name, I keep making jokes like, 'It's called Taliban Perez Baron Cohen'.
"I just feel my children didn't choose a career in the limelight and unfortunately, I get followed.
"I'm not complaining about my job. I'm completely aware of how lucky I am. But until they decide on a job in the public eye, I want to protect their privacy."
Isla - who married Sacha in a secret ceremony last year after converting to Judaism - has also said she feels it's her responsibility to keep them out of the public eye.
She said: "Motherhood is my favourite topic but I never talk about it publicly. As much as I love what I am doing, and I am so fortunate to have the opportunities that I have had, my responsibility is to my family."