A man walking his dog found Ms Marsh’s body in dense undergrowth at Leechpool Woods at 6.20pm on Wednesday last week.
Ms Marsh, 59, was seen at home in Littlehaven Lane at 9.30am on Wednesday, May 30. She was reported missing at 8.30pm the same day after failing to leave a note for her partner, something police said was out of character.
A spokesman for Sussex Police said: “A post mortem is taking place today. Although further tests may be necessary to establish the exact cause of death, the death is still not being treated as suspicious.”