The woman was discovered in the water by a member of the public at at La Haule slip this morning.
Police and paramedics were called to the area at around 07:00.
Her identity was originally unconfirmed, but police officers said in a short update this afternoon that they now knew the identity of the woman and had told her family. A formal identification process is still to take place, however.
They added that investigations into how she came by her death were continuing.
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