Anna Nicole Smith

A lawyer for Anna Nicole Smith said Tuesday that he was the father of the reality TV star's newborn girl, who has been the couple's one "ray of hope" as they have grieved the death of her 20-year-old son in the Bahamas. Howard K. Stern, who was with the family in the hospital the night that Daniel Smith died, told CNN's "Larry King Live" they had named their daughter Dannie Lynn Hope. "Right now we have to somehow get through what we're going through," he said. "And I'll tell you, our baby is the one ray of hope." Daniel Smith, 20, died Sept. 10 while visiting his mother as she recuperated from giving birth three days earlier. Authorities have said there was no sign of suicide or foul play, and they were awaiting toxicology results to determine the cause of death. "We're still waiting to find out what the cause is," Stern said. "We also now have an indication that there may have been other prescriptive medication in his system. Anna Nicole Smith noticed Daniel wasn't breathing, Stern said. Medical personnel could not revive him, and he and Anna Nicole continued resuscitation efforts even after they were asked to stop. "She stayed there and we were at the foot of the bed and she was hugging Daniel's legs," he said. "And she was praying to Jesus and she was telling Jesus to take her and not take Daniel." Stern said he and Anna Nicole Smith had been living together in the Bahamas, and planned to stay in the island chain long term and marry "at some point." She wanted to get away from the media and to start a new life and give her daughter a chance to live a normal life, said Stern, who described himself as a "proud father." He said there has not been a funeral and declined to describe any burial plans. Cyril Wecht, a pathologist hired by the family to conduct a repeat autopsy, has said Daniel was taking a low dose of the antidepressant Lexapro. Stern said Smith had recently been hospitalized with back pain and depression, and may have had "other prescriptive medication in his system."