Fisher and Baron Cohen name baby Olive

Isla Fisher and fiancé Sacha Baron Cohen have named their baby daughter Olive.

The Wedding Crashers actress gave birth to the couple's first child in Los Angeles last week.

A source told OK!: "Isla and Sacha are over the moon with their newborn daughter. They wanted to wait until they saw the baby to pick a name. Both agreed Olive is perfect for her."

Baron Cohen, famous for characters Borat and Ali G, is said to be "thrilled" with his new daughter and has been a "hands-on dad" since the birth.

The couple have been engaged since 2004, but have yet to set a date for their wedding.