Frances Lawrencina Anderson filed papers in Manhattan, New York on Wednesday (02Feb11), claiming the Ocean's Eleven filmmaker ""has acknowledged that he is the father of the child"" and has undergone a DNA test to confirm the paternity.
In the suit, Anderson also states Soderbergh helped to cover her medical expenses throughout her pregnancy, right up until the birth of baby Pearl in August (10).
Anderson claims she ""had sexual intercourse"" with the married director ""on many occasions covering a period of time covering all possible dates of conception, including but not limited to December 2009"".
Soderbergh spent several months in Sydney, where Anderson lives, directing stage show Tot Mom. The production ran from December 2009 until February 2010.
Anderson is seeking child support and an official declaration that Soderbergh is the father.
Soderbergh, 48, has been married to writer/journalist Jules Asner since 2003. He has a daughter from his first marriage to Betsy Brantley.