The body of Ms Conner, 42, from Clawknowes Place in Musselburgh, was discovered by a passer-by off the coast of Seton Sands, East Lothian, at around 4:50pm last Wednesday.
Police don't believe there were any suspicious circumstances.
Police name dead woman
POLICE have named a woman found dead in the waters of a Lothian beach as Lynn Conner.