02/06/2008 AT 06:30 AM EST
02/06/2008 AT 04:15 AM EST
Michelle Williams and her two-year-old daughter arrived in Perth, Australia, Wednesday afternoon local time for Heath Ledger
Williams, wearing a black dress and black sunglasses, held Matilda in her arms as they exited the plane under heavy security. Matilda clung to a stuffed rabbit as more than five police officers and airport security escorted them into an elevator.
Williams's arrival comes one day after Ledger's father, Kim, mother Sally and sister Kate all returned home from the U.S.
From the airport, Williams and Matilda (who was wearing a striped dress and was covered with a blanket) headed to Heath's mom's house in the suburb of Applecross. Soon afterward, guests began dropping by to pay their respects. One woman delivered a bouquet of flowers and Kim Ledger's wife, Ines, dropped off a covered casserole dish.
A private funeral for the actor – who was found dead
in his Manhattan apartment Jan. 22 – is expected to take place on Saturday.
Although Williams and Ledger (who met while filming Brokeback Mountain
) split last September, the two remained bonded by love for their daughter. In a statement
released after his death, the actress said, "My heart is broken."