Part of the aluminium umbrella was driven completely through due to the "force of the wind", the Asbury Park Press reported.
At about 4 p.m., officers responded to a first aid call on the beach at Hiering Avenue in Seaside Heights.
There has been no update on her condition.
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She is "doing well" after surgery at Jersey Shore University Medical Center, authorities said. "It was just an accident", Reynolds said in a statement released by Hackensack Meridian Health Tuesday.
One eyewitness, Instagram user Ricky Z, posted photos of the scene. This lady had an umbrella go through her leg 5 feet away from me!
"She screams "My leg" to which I thought she had probably broken it because she was laying on her side with the umbrella sideways over her", he said.
The incident occurred late Monday afternoon at a beach in Seaside Heights.