( CNN ) -- Attorneys for Casey Anthony and Zenaida Gonzalez , the woman who has filed a civil suit against her , return to court Thursday to argue whether Anthony should fully answer questions posed to her during her deposition in October . In that hearing , Anthony 's lawyers invoked her Fifth Amendment right against self-incrimination 60 times . Attorneys for Gonzalez want the court to compel her to answer . Gonzalez 's defamation lawsuit alleges that Anthony falsely accused her of kidnapping her 2-year-old daughter , Caylee Anthony . Gonzalez alleges that Anthony defamed her and damaged her reputation when she claimed that a nanny named Zenaida Fernandez-Gonzalez had taken Caylee , who was reported missing in July 2008 -- a month after she was last seen . Authorities were never able to find the nanny . But they did find Gonzalez , who claimed she never met Anthony or her daughter . Anthony 's civil attorneys have argued that she never identified this specific woman as the `` Zenaida Gonzalez '' she was talking about . Gonzalez 's attorneys claim , according to questions asked of Anthony in the October 8 deposition , that Gonzalez was questioned by the police in Caylee 's disappearance , was kicked out of her apartment complex , lost her job and that she and her two daughters received death threats as a result of media attention in the case . Anthony herself said little in the deposition , but did acknowledge she was aware she was being sued by Gonzalez . She also said she had not spoken to her brother , Lee , in the previous six months , and had not spoken to her parents , George and Cindy Anthony , since October 14 , 2008 . However , her attorney , Charles Greene , did not permit her to answer questions including whether she had ever met Gonzalez ; whether a person named Zenaida was ever a nanny to Caylee ; or whether defense attorney Jose Baez 's assertion during Anthony 's criminal trial that Zenaida Gonzalez was one of Anthony 's `` imaginary friends , '' was true . She also was not allowed to answer questions about whether she considered herself a good mother to Caylee ; the last day she saw the 2-year-old alive ; and whether she drowned in the Anthonys ' pool in June 2008 , as the defense claimed during Anthony 's criminal trial . While Anthony was acquitted on murder charges in Caylee 's death , she was convicted on four counts of lying to authorities investigating the child 's disappearance . She was given credit for time already spent behind bars , however , and was released from jail July 17 . Gonzalez was deposed for about 12 hours last month by Anthony 's attorneys .
Anthony 's attorneys invoked her Fifth Amendment rights four times in a previous hearing . Suit against Anthony alleges she falsely accused Anthony of kidnapping CNN . Lawyers will argue whether Gonzalez should fully answer questions posed to her .