Attorneys for Zenaida Gonzalez used videoconferencing to question Anthony, who was at an undisclosed location in Florida.
John Morgan, who is representing Gonzalez, said he asked Anthony about the disappearance of her 2-year-old daughter, Caylee. Anthony told detectives in 2008 that Caylee had been kidnapped by a nanny named Zenaida Gonzalez.
Detectives said no such baby sitter existed. Morgan's client, who has the same name as the fictional baby sitter, has sued Anthony, claiming her reputation was ruined.
Anthony answered few questions and her attorney, Charles Greene, repeatedly invoked the Fifth Amendment, Morgan said.
"I think there were times where some of the questions irritated her," Morgan said, pointing to questions about her mother and father, and her brother's testimony.
Morgan said Anthony tried to disguise herself by wearing a Philadelphia Phillies baseball cap and long, thick black hair that appeared to be from a wig. She also wore a large pair of Dolce and Gabbana sunglasses, Morgan said.
He described her as "not happy to be there."
Why she chose to wear a Phillies cap was not addressed.
A message left for Greene by The Associated Press on Saturday after the deposition was not immediately returned.
Anthony was acquitted of killing Caylee and released from jail in July. She is now serving probation on an unrelated charge at an undisclosed location in Florida.