(Cover) - EN Showbiz - Kimberly Stewart and Benicio del Toro have named their baby girl.

The pair, who welcomed a daughter on Sunday, have called their bundle of joy, Delilah.

Entertainment Tonight said a source confirmed the news to them and also says that Benicio was at the hospital for the birth.

The 32-year-old daughter of rocker Rod Stewart had the 8lbs. 9oz. baby girl with her family there for support at a Los Angeles hospital.

"Benicio is the father and very supportive," his spokesperson said back in April. "Although [he and Kimberly] are not a couple, they are looking forward to the arrival of the baby."

Kimberly's pregnancy came as a surprise to many as her liaison with Benicio was not publicly known about. The pair have remained on good terms, although it's been claimed Kimberly was hoping to have a relationship with the actor.

Benicio won an Oscar for his role in Traffic in 2001 and has said recently that he is too busy for a girlfriend. (C) Cover Media