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Amanda Houston-St. Louis was hired by Parker to look after her children. She was given a debit card and pin code for expenses such as food.
Houston-St. Louis is now accused of using the card to withdraw two large sums of cash for herself from an ATM.
Parker's bank alerted the authorities when they noticed the transactions.
Houston-St. Louis was arrested in June and charged with identity theft, grand larceny and criminal possession of stolen property.
On Monday, she appeared in Brooklyn Supreme Court - prosecutors told the Judge that they are working on a plea deal that would include restitution payments, the NY Daily News reported. Houston-St. Louis could also face up to seven years in prison if convicted.
Parker, who is best known for her roles in TV series' West Wing and Weeds, lives in Brooklyn Heights with her two children.