Chelsea Clinton

The Clinton family rang in the new year at New York-Presbyterian Hospital, where Secretary of State Hillary Clinton remains hospitalized as doctors monitor a blood clot between her brain and her skull.

Chelsea Clinton tweeted an update on her mother's condition Monday, writing, "Thank you to all for sending good thoughts my Mom's way. Grateful to all her doctors & that she'll make a full recovery!"

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On Tuesday, the former First Daughter added, "Wishing all a healthy & happy 2013. Grateful to be starting the new year with my family."

Hillary Clinton was hospitalized on Dec. 30 after doctors discovered the clot, which they say stems from a concussion she suffered after fainting in mid-December.