Anna Nicole Smith's mother is battling for custody of her five-month-year granddaughter. Last week, Virgie Arthur lost custody of her daughter's body but now plans to fight the late model's partner Howard K. Stern for custody of Dannielynn. A private hearing will take place in Nassau, in the Bahamas. Arthur and Stern - who is listed as the baby's father on the birth certificate - will also face Larry Birkhead who has failed a paternity claim. Supreme Court Justice Stephen Isaacs has banned Stern from taking Dannielynn away from the Bahamian island until a custody ruling has been made. Isaacs has also placed a gagging order against the attorneys from making anything said in the courtroom public. Last Thursday, custody of Anna Nicole's body was granted to Dannielynn's temporary court-appointed guardian, Richard C. Milstein. Milstein has said the former Playboy playmate should be buried in the Bahamas, next to her son Daniel, who died last September. Arthur had wanted her daughter to be laid to rest near their Texan family home. Despite the court decision being finalised last week, a funeral is still not expected to take place until tomorrow at the earliest, and Anna Nicole's body remains in a Florida morgue. Anna Nicole died on February 8 after being found unconscious in a Florida hotel room.